Search a number
-
+
252602430624 = 25323128293283
BaseRepresentation
bin1110101101000001000…
…1110011010010100000
3220011000022001000210200
43223100101303102200
513114312210234444
6312013254425200
724151503143025
oct3532021632240
9804008030720
10252602430624
1198145539965
1240b58062200
131aa882a327b
14c3242c754c
156886529969
hex3ad04734a0

252602430624 has 72 divisors (see below), whose sum is σ = 741510387072. Its totient is φ = 81484652160.

The previous prime is 252602430607. The next prime is 252602430631. The reversal of 252602430624 is 426034206252.

252602430624 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 0 + 24 + 3 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14137714 + ... + 14155569.

It is an arithmetic number, because the mean of its divisors is an integer number (10298755376).

Almost surely, 2252602430624 is an apocalyptic number.

252602430624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252602430624 is an abundant number, since it is smaller than the sum of its proper divisors (488907956448).

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

252602430624 is a wasteful number, since it uses less digits than its factorization.

252602430624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28293330 (or 28293319 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 252602430624 its reverse (426034206252), we get a palindrome (678636636876).

The spelling of 252602430624 in words is "two hundred fifty-two billion, six hundred two million, four hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 28293283 56586566 84879849 113173132 169759698 226346264 254639547 339519396 452692528 509279094 679038792 877091773 905385056 1018558188 1358077584 1754183546 2037116376 2631275319 2716155168 3508367092 4074232752 5262550638 7016734184 7893825957 8148465504 10525101276 14033468368 15787651914 21050202552 28066936736 31575303828 42100405104 63150607656 84200810208 126301215312 252602430624