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5035876864 = 2923218593
BaseRepresentation
bin1001011000010100…
…10110001000000000
3110222221220001100221
410230022112020000
540303141024424
62151412152424
7235536150514
oct45412261000
913887801327
105035876864
112154691907
12b86608714
136234107c5
1435ab60144
151e71919e4
hex12c296200

5035876864 has 60 divisors (see below), whose sum is σ = 10518979086. Its totient is φ = 2408333312.

The previous prime is 5035876789. The next prime is 5035876873. The reversal of 5035876864 is 4686785305.

It can be written as a sum of positive squares in only one way, i.e., 4147360000 + 888516864 = 64400^2 + 29808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261552 + ... + 280144.

Almost surely, 25035876864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259489543).

5035876864 is an abundant number, since it is smaller than the sum of its proper divisors (5483102222).

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

5035876864 is an equidigital number, since it uses as much as digits as its factorization.

5035876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18657 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The square root of 5035876864 is about 70963.9124062365. The cubic root of 5035876864 is about 1714.0561082540.

The spelling of 5035876864 in words is "five billion, thirty-five million, eight hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1058 1472 2116 2944 4232 5888 8464 11776 16928 18593 33856 37186 67712 74372 135424 148744 270848 297488 427639 594976 855278 1189952 1710556 2379904 3421112 4759808 6842224 9519616 9835697 13684448 19671394 27368896 39342788 54737792 78685576 109475584 157371152 218951168 314742304 629484608 1258969216 2517938432 5035876864