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1056146868 = 223277159029
BaseRepresentation
bin111110111100111…
…000010110110100
32201121022211010200
4332330320112310
54130333144433
6252444520500
735113046250
oct7674702664
92647284120
101056146868
114a2192857
12255850130
1313aa6839a
14a03a5260
1562ac2613
hex3ef385b4

1056146868 has 72 divisors (see below), whose sum is σ = 3094116480. Its totient is φ = 297501120.

The previous prime is 1056146849. The next prime is 1056146869. The reversal of 1056146868 is 8686416501.

1056146868 is a `hidden beast` number, since 1 + 0 + 561 + 4 + 6 + 86 + 8 = 666.

It is a super-2 number, since 2×10561468682 = 2230892413572418848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056146869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11623 + ... + 47406.

It is an arithmetic number, because the mean of its divisors is an integer number (42973840).

Almost surely, 21056146868 is an apocalyptic number.

1056146868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056146868 is an abundant number, since it is smaller than the sum of its proper divisors (2037969612).

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

1056146868 is a wasteful number, since it uses less digits than its factorization.

1056146868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59117 (or 59112 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1056146868 is about 32498.4133151143. The cubic root of 1056146868 is about 1018.3758813065.

The spelling of 1056146868 in words is "one billion, fifty-six million, one hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 17892 59029 118058 177087 236116 354174 413203 531261 708348 826406 1062522 1239609 1652812 2125044 2479218 3718827 4191059 4958436 7437654 8382118 12573177 14875308 16764236 25146354 29337413 37719531 50292708 58674826 75439062 88012239 117349652 150878124 176024478 264036717 352048956 528073434 1056146868