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20125526640120 = 23335111694067899
BaseRepresentation
bin1001001001101110101101…
…10111011100010111111000
32122020222111112222112011000
410210313112313130113320
510114214034304440440
6110445312253405000
74145010211611456
oct444672667342770
978228445875130
1020125526640120
11645a208131730
122310566199760
13b2caa147b655
144d811b5939d6
1524d7a011e730
hex124dd6ddc5f8

20125526640120 has 128 divisors (see below), whose sum is σ = 73183733280000. Its totient is φ = 4878915546240.

The previous prime is 20125526640119. The next prime is 20125526640133. The reversal of 20125526640120 is 2104662552102.

20125526640120 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 5 + 5 + 2 + 6 + 640 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×201255266401202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847022070 + ... + 847045829.

It is an arithmetic number, because the mean of its divisors is an integer number (571747916250).

Almost surely, 220125526640120 is an apocalyptic number.

20125526640120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20125526640120 is an abundant number, since it is smaller than the sum of its proper divisors (53058206639880).

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

20125526640120 is a wasteful number, since it uses less digits than its factorization.

20125526640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694067930 (or 1694067920 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20125526640120 in words is "twenty trillion, one hundred twenty-five billion, five hundred twenty-six million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1694067899 3388135798 5082203697 6776271596 8470339495 10164407394 13552543192 15246611091 16940678990 18634746889 20328814788 25411018485 30493222182 33881357980 37269493778 40657629576 45739833273 50822036970 55904240667 60986444364 67762715960 74538987556 76233055455 91479666546 93173734445 101644073940 111808481334 121972888728 149077975112 152466110910 167712722001 182959333092 186347468890 203288147880 223616962668 228699166365 279521203335 304932221820 335425444002 365918666184 372694937780 447233925336 457398332730 503138166003 559042406670 609864443640 670850888004 745389875560 838563610005 914796665460 1006276332006 1118084813340 1341701776008 1677127220010 1829593330920 2012552664012 2236169626680 2515690830015 3354254440020 4025105328024 5031381660030 6708508880040 10062763320060 20125526640120