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252463972608 = 283412175153
BaseRepresentation
bin1110101100100000000…
…1101000000100000000
3220010122122111122010000
43223020001220010000
513114021234110413
6311551431040000
724145202234241
oct3531001500400
9803578448100
10252463972608
1198084370351
1240b19810000
131aa656b5a53
14c30db64cc8
1568792ca073
hex3ac8068100

252463972608 has 90 divisors (see below), whose sum is σ = 752801946974. Its totient is φ = 84154650624.

The previous prime is 252463972577. The next prime is 252463972613. The reversal of 252463972608 is 806279364252.

252463972608 is a `hidden beast` number, since 2 + 5 + 24 + 6 + 3 + 9 + 7 + 2 + 608 = 666.

252463972608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 198245781504 + 54218191104 = 445248^2 + 232848^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6066841 + ... + 6108312.

Almost surely, 2252463972608 is an apocalyptic number.

It is an amenable number.

252463972608 is an abundant number, since it is smaller than the sum of its proper divisors (500337974366).

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

252463972608 is an equidigital number, since it uses as much as digits as its factorization.

252463972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175181 (or 12175158 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 252463972608 in words is "two hundred fifty-two billion, four hundred sixty-three million, nine hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 12175153 24350306 36525459 48700612 73050918 97401224 109576377 146101836 194802448 219152754 292203672 328729131 389604896 438305508 584407344 657458262 779209792 876611016 986187393 1168814688 1314916524 1558419584 1753222032 1972374786 2337629376 2629833048 3116839168 3506444064 3944749572 4675258752 5259666096 7012888128 7889499144 9350517504 10519332192 14025776256 15778998288 21038664384 28051552512 31557996576 42077328768 63115993152 84154657536 126231986304 252463972608