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172796002937 = 1741224592
BaseRepresentation
bin1010000011101101110…
…0011100001001111001
3121112000110011110002122
42200323130130021321
510312341234043222
6211214214011025
715325021535135
oct2407334341171
9545013143078
10172796002937
11673119255a8
12295a5046a75
13133aa2b4bac
14851313a3c5
154765045a42
hex283b71c279

172796002937 has 18 divisors (see below), whose sum is σ = 187608058974. Its totient is φ = 158600385280.

The previous prime is 172796002931. The next prime is 172796002943. The reversal of 172796002937 is 739200697271.

172796002937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172796002931) and next prime (172796002943).

It can be written as a sum of positive squares in 3 ways, for example, as 96746896 + 172699256041 = 9836^2 + 415571^2 .

It is not a de Polignac number, because 172796002937 - 28 = 172796002681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172796002931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70269614 + ... + 70272072.

It is an arithmetic number, because the mean of its divisors is an integer number (10422669943).

Almost surely, 2172796002937 is an apocalyptic number.

172796002937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

172796002937 is a deficient number, since it is larger than the sum of its proper divisors (14812056037).

172796002937 is an frugal number, since it uses more digits than its factorization.

172796002937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 53.

The spelling of 172796002937 in words is "one hundred seventy-two billion, seven hundred ninety-six million, two thousand, nine hundred thirty-seven".

Divisors: 1 17 41 697 1681 2459 28577 41803 100819 1713923 4133579 6046681 70270843 102793577 247913921 4214536657 10164470761 172796002937