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252435310504 = 231317142780153
BaseRepresentation
bin1110101100011001010…
…0010010011110101000
3220010120122120110002121
43223012110102132220
513113441414414004
6311544524441024
724144403510246
oct3530624223650
9803518513077
10252435310504
119806a174063
1240b100a9174
131aa5c78ba20
14c30a023796
156876a17854
hex3ac65127a8

252435310504 has 32 divisors (see below), whose sum is σ = 539708982120. Its totient is φ = 109655156736.

The previous prime is 252435310499. The next prime is 252435310529. The reversal of 252435310504 is 405013534252.

252435310504 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 4 ways, for example, as 223908776100 + 28526534404 = 473190^2 + 168898^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 252435310504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71388309 + ... + 71391844.

Almost surely, 2252435310504 is an apocalyptic number.

It is an amenable number.

252435310504 is an abundant number, since it is smaller than the sum of its proper divisors (287273671616).

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

252435310504 is a wasteful number, since it uses less digits than its factorization.

252435310504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142780189 (or 142780185 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 252435310504 its reverse (405013534252), we get a palindrome (657448844756).

The spelling of 252435310504 in words is "two hundred fifty-two billion, four hundred thirty-five million, three hundred ten thousand, five hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 142780153 285560306 571120612 1142241224 1856141989 2427262601 3712283978 4854525202 7424567956 9709050404 14849135912 19418100808 31554413813 63108827626 126217655252 252435310504