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1138724964 = 22321319912227
BaseRepresentation
bin100001111011111…
…1001000001100100
32221100201012222200
41003313321001210
54313003144324
6304554454500
740135000566
oct10367710144
92840635880
101138724964
11534864a13
12279434430
13151bbc070
14ab33d336
1569e84ec9
hex43df9064

1138724964 has 72 divisors (see below), whose sum is σ = 3115694400. Its totient is φ = 348587712.

The previous prime is 1138724947. The next prime is 1138724971. The reversal of 1138724964 is 4694278311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87019 + ... + 99245.

Almost surely, 21138724964 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 1138724964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557847200).

1138724964 is an abundant number, since it is smaller than the sum of its proper divisors (1976969436).

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

1138724964 is a wasteful number, since it uses less digits than its factorization.

1138724964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12444 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1138724964 is about 33744.9990961624. Note that the first 3 decimals coincide. The cubic root of 1138724964 is about 1044.2543199509.

The spelling of 1138724964 in words is "one billion, one hundred thirty-eight million, seven hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 796 1194 1791 2388 2587 3582 5174 7164 7761 10348 12227 15522 23283 24454 31044 36681 46566 48908 73362 93132 110043 146724 158951 220086 317902 440172 476853 635804 953706 1430559 1907412 2433173 2861118 4866346 5722236 7299519 9732692 14599038 21898557 29198076 31631249 43797114 63262498 87594228 94893747 126524996 189787494 284681241 379574988 569362482 1138724964