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21131913747152 = 2413589717228377
BaseRepresentation
bin1001100111000001010000…
…01101100101101011010000
32202211012011101212121022202
410303200220031211223100
510232211124404402102
6112535511150022332
74310505344102015
oct463405015455320
982735141777282
1021131913747152
116807aa344767a
12245360b1a79a8
13ba3966a8bc60
14530b0bdb570c
15269a52486e02
hex133828365ad0

21131913747152 has 40 divisors (see below), whose sum is σ = 44100030474696. Its totient is φ = 9751536470016.

The previous prime is 21131913747121. The next prime is 21131913747181. The reversal of 21131913747152 is 25174731913112.

It can be written as a sum of positive squares in 4 ways, for example, as 9640925640256 + 11490988106896 = 3104984^2 + 3389836^2 .

It is a super-2 number, since 2×211319137471522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21131913747097 and 21131913747106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7387613 + ... + 9840764.

Almost surely, 221131913747152 is an apocalyptic number.

It is an amenable number.

21131913747152 is an abundant number, since it is smaller than the sum of its proper divisors (22968116727544).

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

21131913747152 is a wasteful number, since it uses less digits than its factorization.

21131913747152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17234295 (or 17234289 counting only the distinct ones).

The product of its digits is 317520, while the sum is 47.

The spelling of 21131913747152 in words is "twenty-one trillion, one hundred thirty-one billion, nine hundred thirteen million, seven hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 5897 11794 23588 47176 76661 94352 153322 306644 613288 1226576 17228377 34456754 68913508 137827016 223968901 275654032 447937802 895875604 1791751208 3583502416 101595739169 203191478338 406382956676 812765913352 1320744609197 1625531826704 2641489218394 5282978436788 10565956873576 21131913747152