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44896004893680 = 2435607493762423
BaseRepresentation
bin10100011010101001010100…
…11011000110101111110000
312212222000102202220100220020
422031110222123012233300
521341034004223044210
6235252535004443440
712312425566015113
oct1215245233065760
9185860382810806
1044896004893680
111333a31a364a76
125051191249580
131c088a1252155
14b12d9a3a257a
1552ccac5e8770
hex28d52a6c6bf0

44896004893680 has 160 divisors (see below), whose sum is σ = 139437373722624. Its totient is φ = 11949931849728.

The previous prime is 44896004893673. The next prime is 44896004893759. The reversal of 44896004893680 is 8639840069844.

44896004893680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719190949 + ... + 719253371.

Almost surely, 244896004893680 is an apocalyptic number.

44896004893680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44896004893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69718686861312).

44896004893680 is an abundant number, since it is smaller than the sum of its proper divisors (94541368828944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44896004893680 is a wasteful number, since it uses less digits than its factorization.

44896004893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67983 (or 67977 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 69.

The spelling of 44896004893680 in words is "forty-four trillion, eight hundred ninety-six billion, four million, eight hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607 1214 1821 2428 3035 3642 4856 4937 6070 7284 9105 9712 9874 12140 14568 14811 18210 19748 24280 24685 29136 29622 36420 39496 48560 49370 59244 62423 72840 74055 78992 98740 118488 124846 145680 148110 187269 197480 236976 249692 296220 312115 374538 394960 499384 592440 624230 749076 936345 998768 1184880 1248460 1498152 1872690 2496920 2996304 2996759 3745380 4993840 5993518 7490760 8990277 11987036 14981520 14983795 17980554 23974072 29967590 35961108 37890761 44951385 47948144 59935180 71922216 75781522 89902770 113672283 119870360 143844432 151563044 179805540 189453805 227344566 239740720 303126088 308182351 359611080 378907610 454689132 568361415 606252176 616364702 719222160 757815220 909378264 924547053 1136722830 1232729404 1515630440 1540911755 1818756528 1849094106 2273445660 2465458808 3031260880 3081823510 3698188212 4546891320 4622735265 4930917616 6163647020 7396376424 9093782640 9245470530 12327294040 14792752848 18490941060 24654588080 36981882120 73963764240 187066687057 374133374114 561200061171 748266748228 935333435285 1122400122342 1496533496456 1870666870570 2244800244684 2806000305855 2993066992912 3741333741140 4489600489368 5612000611710 7482667482280 8979200978736 11224001223420 14965334964560 22448002446840 44896004893680