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11041056166056 = 2337175937362463
BaseRepresentation
bin1010000010101011001000…
…1110110001000010101000
31110002111220012002000021020
42200222302032301002220
52421344040334303211
635252105143412440
72216455443633420
oct240526216610250
943074805060236
1011041056166056
113577538403164
1212a39b7454120
1362122324a637
142a2566111480
1514230ac69306
hexa0ab23b10a8

11041056166056 has 64 divisors (see below), whose sum is σ = 31563809587200. Its totient is φ = 3152793993408.

The previous prime is 11041056165967. The next prime is 11041056166069. The reversal of 11041056166056 is 65066165014011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11041056165999 and 11041056166017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18385720 + ... + 18976743.

It is an arithmetic number, because the mean of its divisors is an integer number (493184524800).

Almost surely, 211041056166056 is an apocalyptic number.

It is an amenable number.

11041056166056 is an abundant number, since it is smaller than the sum of its proper divisors (20522753421144).

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

11041056166056 is a wasteful number, since it uses less digits than its factorization.

11041056166056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37364238 (or 37364234 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11041056166056 in words is "eleven trillion, forty-one billion, fifty-six million, one hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1759 3518 5277 7036 10554 12313 14072 21108 24626 36939 42216 49252 73878 98504 147756 295512 37362463 74724926 112087389 149449852 224174778 261537241 298899704 448349556 523074482 784611723 896699112 1046148964 1569223446 2092297928 3138446892 6276893784 65720572417 131441144834 197161717251 262882289668 394323434502 460044006919 525764579336 788646869004 920088013838 1380132020757 1577293738008 1840176027676 2760264041514 3680352055352 5520528083028 11041056166056