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21311791226856 = 23321322769007721
BaseRepresentation
bin1001101100010000010011…
…01111101101111111101000
32210110101110101002100022200
410312020021233231333220
510243133022023224411
6113154300212420200
74326504024333054
oct466101157557750
983411411070280
1021311791226856
116877309606509
12248244b917660
13bb7902206390
145396d37dac64
1526e57e03ce56
hex136209bedfe8

21311791226856 has 48 divisors (see below), whose sum is σ = 62159391081060. Its totient is φ = 6557474223360.

The previous prime is 21311791226851. The next prime is 21311791226899. The reversal of 21311791226856 is 65862219711312.

21311791226856 is a `hidden beast` number, since 2 + 1 + 311 + 7 + 9 + 12 + 268 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16220224624356 + 5091566602500 = 4027434^2 + 2256450^2 .

It is not an unprimeable number, because it can be changed into a prime (21311791226851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11384502925 + ... + 11384504796.

Almost surely, 221311791226856 is an apocalyptic number.

21311791226856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21311791226856 is an abundant number, since it is smaller than the sum of its proper divisors (40847599854204).

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

21311791226856 is a wasteful number, since it uses less digits than its factorization.

21311791226856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22769007746 (or 22769007739 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 21311791226856 in words is "twenty-one trillion, three hundred eleven billion, seven hundred ninety-one million, two hundred twenty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 22769007721 45538015442 68307023163 91076030884 136614046326 182152061768 204921069489 273228092652 295997100373 409842138978 546456185304 591994200746 819684277956 887991301119 1183988401492 1639368555912 1775982602238 2367976802984 2663973903357 3551965204476 5327947806714 7103930408952 10655895613428 21311791226856