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2553399864 = 2332172086111
BaseRepresentation
bin1001100000110001…
…1100101000111000
320120221200011010100
42120030130220320
520212132243424
61101212115400
7120163353321
oct23014345070
96527604110
102553399864
1110a0367124
125b3165b60
133190081c2
141a3191448
15ee277dc9
hex9831ca38

2553399864 has 48 divisors (see below), whose sum is σ = 7322253120. Its totient is φ = 801066240.

The previous prime is 2553399857. The next prime is 2553399889. The reversal of 2553399864 is 4689933552.

2553399864 is a `hidden beast` number, since 2 + 553 + 3 + 9 + 9 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2553399864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041832 + ... + 1044279.

It is an arithmetic number, because the mean of its divisors is an integer number (152546940).

Almost surely, 22553399864 is an apocalyptic number.

2553399864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2553399864 is an abundant number, since it is smaller than the sum of its proper divisors (4768853256).

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

2553399864 is a wasteful number, since it uses less digits than its factorization.

2553399864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086140 (or 2086133 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 2553399864 is about 50531.1771483705. The cubic root of 2553399864 is about 1366.8041128736.

The spelling of 2553399864 in words is "two billion, five hundred fifty-three million, three hundred ninety-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2086111 4172222 6258333 8344444 12516666 16688888 18774999 25033332 35463887 37549998 50066664 70927774 75099996 106391661 141855548 150199992 212783322 283711096 319174983 425566644 638349966 851133288 1276699932 2553399864