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38104176672 = 2532132306169
BaseRepresentation
bin100011011111001011…
…111001100000100000
310122100112201201210200
4203133023321200200
51111014132123142
625301012425200
72516154105042
oct433713714040
9118315651720
1038104176672
11151838a5a01
127475018200
133793381b03
141bb68ada92
15ed035164c
hex8df2f9820

38104176672 has 36 divisors (see below), whose sum is σ = 108358753230. Its totient is φ = 12701392128.

The previous prime is 38104176641. The next prime is 38104176673. The reversal of 38104176672 is 27667140183.

It can be written as a sum of positive squares in only one way, i.e., 19837032336 + 18267144336 = 140844^2 + 135156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38104176673) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66152797 + ... + 66153372.

Almost surely, 238104176672 is an apocalyptic number.

38104176672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38104176672 is an abundant number, since it is smaller than the sum of its proper divisors (70254576558).

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

38104176672 is a wasteful number, since it uses less digits than its factorization.

38104176672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132306185 (or 132306174 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 38104176672 in words is "thirty-eight billion, one hundred four million, one hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132306169 264612338 396918507 529224676 793837014 1058449352 1190755521 1587674028 2116898704 2381511042 3175348056 4233797408 4763022084 6350696112 9526044168 12701392224 19052088336 38104176672