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38287413972 = 22321063539277
BaseRepresentation
bin100011101010000110…
…111001001011010100
310122211022112011010100
4203222012321023110
51111403034221342
625331120054100
72523540435423
oct435206711324
9118738464110
1038287413972
1115268279895
127506464330
1337c231a352
141bd2d6b2ba
15ee1498e4c
hex8ea1b92d4

38287413972 has 18 divisors (see below), whose sum is σ = 96782074298. Its totient is φ = 12762471312.

The previous prime is 38287413949. The next prime is 38287414019. The reversal of 38287413972 is 27931478283.

38287413972 is a `hidden beast` number, since 3 + 82 + 87 + 413 + 9 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34788218256 + 3499195716 = 186516^2 + 59154^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 531769603 + ... + 531769674.

Almost surely, 238287413972 is an apocalyptic number.

It is an amenable number.

38287413972 is an abundant number, since it is smaller than the sum of its proper divisors (58494660326).

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

38287413972 is a wasteful number, since it uses less digits than its factorization.

38287413972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063539287 (or 1063539282 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 38287413972 in words is "thirty-eight billion, two hundred eighty-seven million, four hundred thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1063539277 2127078554 3190617831 4254157108 6381235662 9571853493 12762471324 19143706986 38287413972