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1138045056 = 27315591901
BaseRepresentation
bin100001111010101…
…0011000010000000
32221022102200022220
41003311103002000
54312314420211
6304532131040
740126136421
oct10365230200
92838380286
101138045056
11534440105
12279166a80
13151a11755
14ab203648
1569d9d806
hex43d53080

1138045056 has 64 divisors (see below), whose sum is σ = 3026462400. Its totient is φ = 378905600.

The previous prime is 1138045039. The next prime is 1138045081. The reversal of 1138045056 is 6505408311.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597706 + ... + 599606.

It is an arithmetic number, because the mean of its divisors is an integer number (47288475).

Almost surely, 21138045056 is an apocalyptic number.

1138045056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1138045056 is an abundant number, since it is smaller than the sum of its proper divisors (1888417344).

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

1138045056 is a wasteful number, since it uses less digits than its factorization.

1138045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1138045056 is about 33734.9233880855. The cubic root of 1138045056 is about 1044.0464446976.

The spelling of 1138045056 in words is "one billion, one hundred thirty-eight million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1559 1901 3118 3802 4677 5703 6236 7604 9354 11406 12472 15208 18708 22812 24944 30416 37416 45624 49888 60832 74832 91248 99776 121664 149664 182496 199552 243328 299328 364992 598656 729984 2963659 5927318 8890977 11854636 17781954 23709272 35563908 47418544 71127816 94837088 142255632 189674176 284511264 379348352 569022528 1138045056