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1113562656 = 253231373371
BaseRepresentation
bin100001001011111…
…1001111000100000
32212121100211210100
41002113321320200
54240033001111
6302255302400
736411061233
oct10227717040
92777324710
101113562656
11521639118
12270b1aa00
1314991c01b
14a7c6d41a
1567b64756
hex425f9e20

1113562656 has 144 divisors (see below), whose sum is σ = 3358188288. Its totient is φ = 349401600.

The previous prime is 1113562649. The next prime is 1113562663. The reversal of 1113562656 is 6562653111.

1113562656 is a `hidden beast` number, since 11 + 13 + 5 + 626 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1113562649) and next prime (1113562663).

It is a tau number, because it is divible by the number of its divisors (144).

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 1113562656.

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, 328651 + ... + 332021.

It is an arithmetic number, because the mean of its divisors is an integer number (23320752).

Almost surely, 21113562656 is an apocalyptic number.

1113562656 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 1113562656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679094144).

1113562656 is an abundant number, since it is smaller than the sum of its proper divisors (2244625632).

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

1113562656 is a wasteful number, since it uses less digits than its factorization.

1113562656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3444 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1113562656 is about 33370.0862450189. The cubic root of 1113562656 is about 1036.5053610931.

The spelling of 1113562656 in words is "one billion, one hundred thirteen million, five hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 48 62 72 74 93 96 111 124 144 148 186 222 248 279 288 296 333 372 444 496 558 592 666 744 888 992 1116 1147 1184 1332 1488 1776 2232 2294 2664 2976 3371 3441 3552 4464 4588 5328 6742 6882 8928 9176 10113 10323 10656 13484 13764 18352 20226 20646 26968 27528 30339 36704 40452 41292 53936 55056 60678 80904 82584 104501 107872 110112 121356 124727 161808 165168 209002 242712 249454 313503 323616 330336 374181 418004 485424 498908 627006 748362 836008 940509 970848 997816 1122543 1254012 1496724 1672016 1881018 1995632 2245086 2508024 2993448 3344032 3762036 3866537 3991264 4490172 5016048 5986896 7524072 7733074 8980344 10032096 11599611 11973792 15048144 15466148 17960688 23199222 30096288 30932296 34798833 35921376 46398444 61864592 69597666 92796888 123729184 139195332 185593776 278390664 371187552 556781328 1113562656