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21137827693 = 1719417122481
BaseRepresentation
bin10011101011111010…
…011010011101101101
32000120010112220102011
4103223322122131231
5321242240441233
613413253001221
71345546366543
oct235372323555
960503486364
1021137827693
118a67830894
12411b023211
131cbb341468
14104746dd93
1583aac50cd
hex4ebe9a76d

21137827693 has 32 divisors (see below), whose sum is σ = 24474804480. Its totient is φ = 18127872000.

The previous prime is 21137827663. The next prime is 21137827699. The reversal of 21137827693 is 39672873112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21137827693 is a prime.

It is a super-3 number, since 3×211378276933 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21137827699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929013 + ... + 951493.

It is an arithmetic number, because the mean of its divisors is an integer number (764837640).

Almost surely, 221137827693 is an apocalyptic number.

It is an amenable number.

21137827693 is a deficient number, since it is larger than the sum of its proper divisors (3336976787).

21137827693 is a wasteful number, since it uses less digits than its factorization.

21137827693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22629.

The product of its digits is 762048, while the sum is 49.

The spelling of 21137827693 in words is "twenty-one billion, one hundred thirty-seven million, eight hundred twenty-seven thousand, six hundred ninety-three".

Divisors: 1 17 19 41 71 323 697 779 1207 1349 2911 13243 22481 22933 49487 55309 382177 427139 921721 940253 1596151 7261363 15669257 17512699 27134567 30326869 65442191 297715883 515556773 1112517247 1243401629 21137827693