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420269551524 = 2232103210492
BaseRepresentation
bin1100001110110100000…
…01000110111110100100
31111011210022022021102100
412013122001012332210
523341203001122044
6521022535012100
742235446150264
oct6073201067644
91434708267370
10420269551524
11152265229479
126954b50a030
1330828b12904
14164ac1b37a4
15adeb15b869
hex61da046fa4

420269551524 has 81 divisors (see below), whose sum is σ = 1073785855233. Its totient is φ = 138597505344.

The previous prime is 420269551441. The next prime is 420269551549. The reversal of 420269551524 is 425155962024.

The square root of 420269551524 is 648282.

It is a perfect power (a square), and thus also a powerful number.

420269551524 is a `hidden beast` number, since 4 + 2 + 0 + 26 + 95 + 515 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 381160533924 + 39109017600 = 617382^2 + 197760^2 .

It is a super-5 number, since 5×4202695515245 (a number of 59 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420269551524.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 400637752 + ... + 400638800.

Almost surely, 2420269551524 is an apocalyptic number.

420269551524 is the 648282-nd square number.

It is an amenable number.

420269551524 is an abundant number, since it is smaller than the sum of its proper divisors (653516303709).

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

420269551524 is a wasteful number, since it uses less digits than its factorization.

420269551524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 420269551524 in words is "four hundred twenty billion, two hundred sixty-nine million, five hundred fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1049 1236 1854 2098 3147 3708 4196 6294 9441 10609 12588 18882 21218 31827 37764 42436 63654 95481 108047 127308 190962 216094 324141 381924 432188 648282 972423 1100401 1296564 1944846 2200802 3301203 3889692 4401604 6602406 9903609 11128841 13204812 19807218 22257682 33386523 39614436 44515364 66773046 100159569 113341303 133546092 200319138 226682606 340023909 400638276 453365212 680047818 1020071727 1360095636 2040143454 4080286908 11674154209 23348308418 35022462627 46696616836 70044925254 105067387881 140089850508 210134775762 420269551524