Search a number
-
+
1056096874368 = 2732916750759
BaseRepresentation
bin11110101111001000100…
…01110110111110000000
310201221222012120220102200
433113210101312332000
5114300341244434433
62125055245113200
7136205031213504
oct17274421667600
93657865526380
101056096874368
11377985175998
12150818858800
13787881c2223
14391887a2304
151c7114cc613
hexf5e4476f80

1056096874368 has 48 divisors (see below), whose sum is σ = 3039028769400. Its totient is φ = 352032291072.

The previous prime is 1056096874319. The next prime is 1056096874369. The reversal of 1056096874368 is 8634786906501.

1056096874368 is a `hidden beast` number, since 1 + 0 + 560 + 9 + 6 + 8 + 7 + 4 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10560968743682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056096874369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458374228 + ... + 458376531.

Almost surely, 21056096874368 is an apocalyptic number.

1056096874368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056096874368 is an abundant number, since it is smaller than the sum of its proper divisors (1982931895032).

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

1056096874368 is an equidigital number, since it uses as much as digits as its factorization.

1056096874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916750779 (or 916750764 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1056096874368 in words is "one trillion, fifty-six billion, ninety-six million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 916750759 1833501518 2750252277 3667003036 5500504554 7334006072 8250756831 11001009108 14668012144 16501513662 22002018216 29336024288 33003027324 44004036432 58672048576 66006054648 88008072864 117344097152 132012109296 176016145728 264024218592 352032291456 528048437184 1056096874368