Search a number
-
+
21632009539131 = 32193715232244911
BaseRepresentation
bin1001110101100100110000…
…01111101000111000111011
32211120222222221100001110100
410322302120033220320323
510313404323420223011
6114001335154250443
74361601235146315
oct472623017507073
984528887301410
1021632009539131
1169900a1491aa2
122514518286a23
13c0bb74a09074
1454adcdc127b5
15277a716dcd56
hex13ac983e8e3b

21632009539131 has 48 divisors (see below), whose sum is σ = 33801909373440. Its totient is φ = 13284335741760.

The previous prime is 21632009539111. The next prime is 21632009539213. The reversal of 21632009539131 is 13193590023612.

21632009539131 is a `hidden beast` number, since 2 + 1 + 63 + 20 + 0 + 9 + 539 + 1 + 31 = 666.

It is not a de Polignac number, because 21632009539131 - 215 = 21632009506363 is a prime.

It is a super-2 number, since 2×216320095391312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21632009539111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8513566 + ... + 10758476.

It is an arithmetic number, because the mean of its divisors is an integer number (704206445280).

Almost surely, 221632009539131 is an apocalyptic number.

21632009539131 is a deficient number, since it is larger than the sum of its proper divisors (12169899834309).

21632009539131 is a wasteful number, since it uses less digits than its factorization.

21632009539131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246496 (or 2246493 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 21632009539131 in words is "twenty-one trillion, six hundred thirty-two billion, nine million, five hundred thirty-nine thousand, one hundred thirty-one".

Divisors: 1 3 9 19 37 57 111 171 333 703 1523 2109 4569 6327 13707 28937 56351 86811 169053 260433 507159 1070669 2244911 3212007 6734733 9636021 20204199 42653309 83061707 127959927 249185121 383879781 747555363 1578172433 3418999453 4734517299 10256998359 14203551897 30770995077 64960989607 126502979761 194882968821 379508939283 584648906463 1138526817849 2403556615459 7210669846377 21632009539131