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21601677332365 = 5131094290171069
BaseRepresentation
bin1001110100101100010000…
…10011011100111110001101
32211111002201000221022001221
410322112020103130332031
510312410213344113430
6113535401254003341
74356445462511524
oct472261023347615
984432630838057
1021601677332365
116979246777119
12250a672046551
13c0904c87a920
1454975360d4bb
15276d9884257a
hex13a5884dcf8d

21601677332365 has 32 divisors (see below), whose sum is σ = 28173177093600. Its totient is φ = 15805068364800.

The previous prime is 21601677332359. The next prime is 21601677332377. The reversal of 21601677332365 is 56323377610612.

It can be written as a sum of positive squares in 16 ways, for example, as 10977121954276 + 10624555378089 = 3313174^2 + 3259533^2 .

It is not a de Polignac number, because 21601677332365 - 237 = 21464238378893 is a prime.

It is a super-2 number, since 2×216016773323652 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303918051 + ... + 303989119.

It is an arithmetic number, because the mean of its divisors is an integer number (880411784175).

Almost surely, 221601677332365 is an apocalyptic number.

It is an amenable number.

21601677332365 is a deficient number, since it is larger than the sum of its proper divisors (6571499761235).

21601677332365 is a wasteful number, since it uses less digits than its factorization.

21601677332365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114097.

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 21601677332365 in words is "twenty-one trillion, six hundred one billion, six hundred seventy-seven million, three hundred thirty-two thousand, three hundred sixty-five".

Divisors: 1 5 13 65 109 545 1417 7085 42901 71069 214505 355345 557713 923897 2788565 4619485 4676209 7746521 23381045 38732605 60790717 100704773 303953585 503523865 3048931169 15244655845 39636105197 198180525985 332333497421 1661667487105 4320335466473 21601677332365