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11456155648 = 21273112889
BaseRepresentation
bin10101010101101011…
…10001000000000000
31002120101210000011001
422222311301000000
5141430233440043
65132441101344
7553615500460
oct125265610000
932511700131
1011456155648
114949779333
122278787854
13110759b132
147a96d1ba0
15470b4674d
hex2aad71000

11456155648 has 104 divisors (see below), whose sum is σ = 27028989440. Its totient is φ = 4751032320.

The previous prime is 11456155631. The next prime is 11456155657. The reversal of 11456155648 is 84655165411.

It is a junction number, because it is equal to n+sod(n) for n = 11456155598 and 11456155607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882388 + ... + 895276.

Almost surely, 211456155648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514494720).

11456155648 is an abundant number, since it is smaller than the sum of its proper divisors (15572833792).

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

11456155648 is an equidigital number, since it uses as much as digits as its factorization.

11456155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951 (or 12929 counting only the distinct ones).

The product of its digits is 576000, while the sum is 46.

The spelling of 11456155648 in words is "eleven billion, four hundred fifty-six million, one hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 12889 13888 14336 15872 25778 27776 28672 31744 51556 55552 63488 90223 103112 111104 126976 180446 206224 222208 360892 399559 412448 444416 721784 799118 824896 888832 1443568 1598236 1649792 2796913 2887136 3196472 3299584 5593826 5774272 6392944 6599168 11187652 11548544 12785888 13198336 22375304 23097088 25571776 26396672 44750608 46194176 51143552 52793344 89501216 92388352 102287104 179002432 184776704 204574208 358004864 369553408 409148416 716009728 818296832 1432019456 1636593664 2864038912 5728077824 11456155648