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11556135713856 = 26389719940573
BaseRepresentation
bin1010100000101001111101…
…0111010011110001000000
31111220202101222010010021010
42220022133113103301000
53003313431220320411
640324452050000520
72301621546563226
oct250123727236100
944822358103233
1011556135713856
113755a25385058
1213677a6576140
1365a97b546a56
142bd469d44b16
151509056767a6
hexa829f5d3c40

11556135713856 has 112 divisors (see below), whose sum is σ = 30962191161600. Its totient is φ = 3803462479872.

The previous prime is 11556135713851. The next prime is 11556135713887. The reversal of 11556135713856 is 65831753165511.

It is a junction number, because it is equal to n+sod(n) for n = 11556135713796 and 11556135713805.

It is not an unprimeable number, because it can be changed into a prime (11556135713851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11815986 + ... + 12756558.

Almost surely, 211556135713856 is an apocalyptic number.

11556135713856 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 11556135713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481095580800).

11556135713856 is an abundant number, since it is smaller than the sum of its proper divisors (19406055447744).

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

11556135713856 is an equidigital number, since it uses as much as digits as its factorization.

11556135713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941396 (or 941386 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 57.

The spelling of 11556135713856 in words is "eleven trillion, five hundred fifty-six billion, one hundred thirty-five million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 719 1068 1424 1438 2136 2157 2848 2876 4272 4314 5696 5752 8544 8628 11504 17088 17256 23008 34512 46016 63991 69024 127982 138048 191973 255964 383946 511928 767892 940573 1023856 1535784 1881146 2047712 2821719 3071568 3762292 4095424 5643438 6143136 7524584 11286876 12286272 15049168 22573752 30098336 45147504 60196672 83710997 90295008 167421994 180590016 251132991 334843988 502265982 669687976 676271987 1004531964 1339375952 1352543974 2009063928 2028815961 2678751904 2705087948 4018127856 4057631922 5357503808 5410175896 8036255712 8115263844 10820351792 16072511424 16230527688 21640703584 32461055376 43281407168 60188206843 64922110752 120376413686 129844221504 180564620529 240752827372 361129241058 481505654744 722258482116 963011309488 1444516964232 1926022618976 2889033928464 3852045237952 5778067856928 11556135713856