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1053161856 = 27321396577
BaseRepresentation
bin111110110001011…
…111100110000000
32201101201011110200
4332301133212000
54124102134411
6252300525200
735045504505
oct7661374600
92641634420
101053161856
114a05340aa
12254850800
1313a2617c6
149dc294ac
15626d2e56
hex3ec5f980

1053161856 has 96 divisors (see below), whose sum is σ = 3052849800. Its totient is φ = 348475392.

The previous prime is 1053161843. The next prime is 1053161869. The reversal of 1053161856 is 6581613501.

1053161856 is a `hidden beast` number, since 1 + 0 + 5 + 31 + 618 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1053161843) and next prime (1053161869).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10531618562 = 2218299789866729472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1053161856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156840 + ... + 163416.

Almost surely, 21053161856 is an apocalyptic number.

1053161856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053161856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526424900).

1053161856 is an abundant number, since it is smaller than the sum of its proper divisors (1999687944).

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

1053161856 is a wasteful number, since it uses less digits than its factorization.

1053161856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1053161856 is about 32452.4553154303. The cubic root of 1053161856 is about 1017.4155563419.

The spelling of 1053161856 in words is "one billion, fifty-three million, one hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1112 1152 1251 1668 2224 2502 3336 4448 5004 6577 6672 8896 10008 13154 13344 17792 19731 20016 26308 26688 39462 40032 52616 53376 59193 78924 80064 105232 118386 157848 160128 210464 236772 315696 420928 473544 631392 841856 914203 947088 1262784 1828406 1894176 2525568 2742609 3656812 3788352 5485218 7313624 7576704 8227827 10970436 14627248 16455654 21940872 29254496 32911308 43881744 58508992 65822616 87763488 117017984 131645232 175526976 263290464 351053952 526580928 1053161856