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20475960624 = 2433717398303
BaseRepresentation
bin10011000100011101…
…100101110100110000
31221212000010120111000
4103010131211310300
5313413321214444
613223450522000
71323261536130
oct230435456460
957760116430
1020475960624
118758167309
123b75436300
131c14193b42
14dc35c0ac0
157ec936469
hex4c4765d30

20475960624 has 160 divisors (see below), whose sum is σ = 71121162240. Its totient is φ = 5506126848.

The previous prime is 20475960623. The next prime is 20475960647. The reversal of 20475960624 is 42606957402.

It is a self number, because there is not a number n which added to its sum of digits gives 20475960624.

It is not an unprimeable number, because it can be changed into a prime (20475960623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147744 + ... + 250559.

It is an arithmetic number, because the mean of its divisors is an integer number (444507264).

Almost surely, 220475960624 is an apocalyptic number.

20475960624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20475960624 is an abundant number, since it is smaller than the sum of its proper divisors (50645201616).

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

20475960624 is a wasteful number, since it uses less digits than its factorization.

20475960624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398344 (or 398332 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20475960624 in words is "twenty billion, four hundred seventy-five million, nine hundred sixty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 398303 796606 1194909 1593212 2389818 2788121 3186424 3584727 4779636 5576242 6372848 6771151 7169454 8364363 9559272 10754181 11152484 13542302 14338908 16728726 19118544 20313453 21508362 22304968 25093089 27084604 28677816 33457452 40626906 43016724 44609936 47398057 50186178 54169208 57355632 60940359 66914904 75279267 81253812 86033448 94796114 100372356 108338416 121880718 133829808 142194171 150558534 162507624 172066896 182821077 189592228 200744712 243761436 284388342 301117068 325015248 365642154 379184456 401489424 426582513 487522872 568776684 602234136 731284308 758368912 853165026 975045744 1137553368 1204468272 1279747539 1462568616 1706330052 2275106736 2559495078 2925137232 3412660104 5118990156 6825320208 10237980312 20475960624