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37992172805 = 561214292
BaseRepresentation
bin100011011000100000…
…101000110100000101
310122001201222100101022
4203120200220310011
51110301444012210
625241532040525
72513324066126
oct433040506405
9118051870338
1037992172805
1115126655824
127443603145
1337760c7632
141ba5a7604d
15ec55ca155
hex8d8828d05

37992172805 has 18 divisors (see below), whose sum is σ = 46382704758. Its totient is φ = 29874559680.

The previous prime is 37992172789. The next prime is 37992172807. The reversal of 37992172805 is 50827129973.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 37977434884 + 14737921 = 194878^2 + 3839^2 .

It is not a de Polignac number, because 37992172805 - 24 = 37992172789 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37992172807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26585831 + ... + 26587259.

It is an arithmetic number, because the mean of its divisors is an integer number (2576816931).

Almost surely, 237992172805 is an apocalyptic number.

It is an amenable number.

37992172805 is a deficient number, since it is larger than the sum of its proper divisors (8390531953).

37992172805 is an frugal number, since it uses more digits than its factorization.

37992172805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 37992172805 in words is "thirty-seven billion, nine hundred ninety-two million, one hundred seventy-two thousand, eight hundred five".

Divisors: 1 5 61 305 1429 3721 7145 18605 87169 435845 2042041 5317309 10210205 26586545 124564501 622822505 7598434561 37992172805