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8037131680 = 25550232073
BaseRepresentation
bin1110111110000110…
…01110010110100000
3202202010021120222201
413133003032112200
5112430001203210
63405303342544
7403111330534
oct73703162640
922663246881
108037131680
113454829a96
121683751a54
139b1144226
145635b1bc4
153208d253a
hex1df0ce5a0

8037131680 has 24 divisors (see below), whose sum is σ = 18987723972. Its totient is φ = 3214852608.

The previous prime is 8037131671. The next prime is 8037131693. The reversal of 8037131680 is 861317308.

It can be written as a sum of positive squares in 2 ways, for example, as 7977347856 + 59783824 = 89316^2 + 7732^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25115877 + ... + 25116196.

Almost surely, 28037131680 is an apocalyptic number.

8037131680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8037131680 is an abundant number, since it is smaller than the sum of its proper divisors (10950592292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8037131680 is a wasteful number, since it uses less digits than its factorization.

8037131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50232088 (or 50232080 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 8037131680 is about 89650.0511990930. The cubic root of 8037131680 is about 2003.0895316064.

Adding to 8037131680 its reverse (861317308), we get a palindrome (8898448988).

The spelling of 8037131680 in words is "eight billion, thirty-seven million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 50232073 100464146 200928292 251160365 401856584 502320730 803713168 1004641460 1607426336 2009282920 4018565840 8037131680