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2132585972765 = 51573178569937
BaseRepresentation
bin11111000010001000000…
…001111000010000011101
321112212120120202010022222
4133002020001320100131
5234420014002112030
64311410234315125
7310034316451433
oct37021001702035
97485516663288
102132585972765
11752474204596
122a5386888aa5
1312614310a1b1
1475309588d53
153a717da03e5
hex1f08807841d

2132585972765 has 16 divisors (see below), whose sum is σ = 2583527789232. Its totient is φ = 1689854260224.

The previous prime is 2132585972749. The next prime is 2132585972827. The reversal of 2132585972765 is 5672795852312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 766600060249 + 1365985912516 = 875557^2 + 1168754^2 .

It is a cyclic number.

It is not a de Polignac number, because 2132585972765 - 24 = 2132585972749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132585972698 and 2132585972707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4036124 + ... + 4533813.

It is an arithmetic number, because the mean of its divisors is an integer number (161470486827).

Almost surely, 22132585972765 is an apocalyptic number.

It is an amenable number.

2132585972765 is a deficient number, since it is larger than the sum of its proper divisors (450941816467).

2132585972765 is a wasteful number, since it uses less digits than its factorization.

2132585972765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570416.

The product of its digits is 63504000, while the sum is 62.

The spelling of 2132585972765 in words is "two trillion, one hundred thirty-two billion, five hundred eighty-five million, nine hundred seventy-two thousand, seven hundred sixty-five".

Divisors: 1 5 157 317 785 1585 49769 248845 8569937 42849685 1345480109 2716670029 6727400545 13583350145 426517194553 2132585972765