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55120564321524 = 223213193610253801
BaseRepresentation
bin11001000100001110000011…
…01001111111110011110100
321020011110210220022111122200
430202013001221333303310
524211043403431242044
6313122012045424500
714416220653126032
oct1442070151776364
9236143726274580
1055120564321524
1116621555629899
12622289956b130
13249ab01887660
14d87bc7233552
15658c2bb58369
hex3221c1a7fcf4

55120564321524 has 72 divisors (see below), whose sum is σ = 150827888687112. Its totient is φ = 16872297062400.

The previous prime is 55120564321507. The next prime is 55120564321561. The reversal of 55120564321524 is 42512346502155.

55120564321524 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 0 + 564 + 32 + 1 + 52 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65915427600 + 55054648893924 = 256740^2 + 7419882^2 .

It is a super-2 number, since 2×551205643215242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55120564321524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305036577 + ... + 305217224.

It is an arithmetic number, because the mean of its divisors is an integer number (2094831787321).

Almost surely, 255120564321524 is an apocalyptic number.

It is an amenable number.

55120564321524 is an abundant number, since it is smaller than the sum of its proper divisors (95707324365588).

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

55120564321524 is a wasteful number, since it uses less digits than its factorization.

55120564321524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610254017 (or 610254012 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 55120564321524 in words is "fifty-five trillion, one hundred twenty billion, five hundred sixty-four million, three hundred twenty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 30108 45162 90324 610253801 1220507602 1830761403 2441015204 3661522806 5492284209 7323045612 7933299413 10984568418 15866598826 21969136836 23799898239 31733197652 47599796478 71399694717 95199592956 117778983593 142799389434 235557967186 285598778868 353336950779 471115934372 706673901558 1060010852337 1413347803116 1531126786709 2120021704674 3062253573418 4240043409348 4593380360127 6124507146836 9186760720254 13780141080381 18373521440508 27560282160762 55120564321524