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38297865564 = 22327563269939
BaseRepresentation
bin100011101010101110…
…110000110101011100
310122212001012011000100
4203222232300311130
51111413223144224
625332132101100
72524025325510
oct435256606534
9118761164010
1038297865564
1115273168272
127509a64790
1337c453961a
141bd44cc140
15ee2360ac9
hex8eabb0d5c

38297865564 has 72 divisors (see below), whose sum is σ = 110835204480. Its totient is φ = 10922771232.

The previous prime is 38297865563. The next prime is 38297865569. The reversal of 38297865564 is 46556879283.

It is a happy number.

38297865564 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 7 + 8 + 65 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38297865563) 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 23 ways as a sum of consecutive naturals, for example, 6907 + ... + 276845.

It is an arithmetic number, because the mean of its divisors is an integer number (1539377840).

Almost surely, 238297865564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38297865564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55417602240).

38297865564 is an abundant number, since it is smaller than the sum of its proper divisors (72537338916).

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

38297865564 is a wasteful number, since it uses less digits than its factorization.

38297865564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270519 (or 270514 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 38297865564 in words is "thirty-eight billion, two hundred ninety-seven million, eight hundred sixty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 563 1126 1689 2252 3378 3941 5067 6756 7882 10134 11823 15764 20268 23646 35469 47292 70938 141876 269939 539878 809817 1079756 1619634 1889573 2429451 3239268 3779146 4858902 5668719 7558292 9717804 11337438 17006157 22674876 34012314 68024628 151975657 303951314 455926971 607902628 911853942 1063829599 1367780913 1823707884 2127659198 2735561826 3191488797 4255318396 5471123652 6382977594 9574466391 12765955188 19148932782 38297865564