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10154250480 = 2435114389449
BaseRepresentation
bin10010111010011110…
…11001000011110000
3222012200000101000010
421131033121003300
5131243442003410
64355332454520
7506426463543
oct113517310360
928180011003
1010154250480
11434089a750
121b7477a440
13c5a946c4a
146c483685a
153e66cbc20
hex25d3d90f0

10154250480 has 160 divisors (see below), whose sum is σ = 35138822400. Its totient is φ = 2404362240.

The previous prime is 10154250413. The next prime is 10154250481. The reversal of 10154250480 is 8405245101.

10154250480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154250481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68796 + ... + 158244.

It is an arithmetic number, because the mean of its divisors is an integer number (219617640).

Almost surely, 210154250480 is an apocalyptic number.

10154250480 is a gapful number since it is divisible by the number (10) 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 10154250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569411200).

10154250480 is an abundant number, since it is smaller than the sum of its proper divisors (24984571920).

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

10154250480 is a wasteful number, since it uses less digits than its factorization.

10154250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89519 (or 89513 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 10154250480 its reverse (8405245101), we get a palindrome (18559495581).

The spelling of 10154250480 in words is "ten billion, one hundred fifty-four million, two hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 516 528 645 660 688 860 880 946 1032 1290 1320 1419 1720 1892 2064 2365 2580 2640 2838 3440 3784 4730 5160 5676 7095 7568 9460 10320 11352 14190 18920 22704 28380 37840 56760 89449 113520 178898 268347 357796 447245 536694 715592 894490 983939 1073388 1341735 1431184 1788980 1967878 2146776 2683470 2951817 3577960 3846307 3935756 4293552 4919695 5366940 5903634 7155920 7692614 7871512 9839390 10733880 11538921 11807268 14759085 15385228 15743024 19231535 19678780 21467760 23077842 23614536 29518170 30770456 38463070 39357560 42309377 46155684 47229072 57694605 59036340 61540912 76926140 78715120 84618754 92311368 115389210 118072680 126928131 153852280 169237508 184622736 211546885 230778420 236145360 253856262 307704560 338475016 423093770 461556840 507712524 634640655 676950032 846187540 923113680 1015425048 1269281310 1692375080 2030850096 2538562620 3384750160 5077125240 10154250480