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2972375568 = 243321132609
BaseRepresentation
bin1011000100101010…
…1101101000010000
321200011001022202000
42301022231220100
522041412004233
61210540154000
7133441526661
oct26112555020
97604038660
102972375568
111295912838
126ab538900
13384a61916
14202a95368
15125e38d13
hexb12ada10

2972375568 has 80 divisors (see below), whose sum is σ = 8572516800. Its totient is φ = 986065920.

The previous prime is 2972375533. The next prime is 2972375587. The reversal of 2972375568 is 8655732792.

2972375568 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 3 + 75 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74848 + ... + 107456.

It is an arithmetic number, because the mean of its divisors is an integer number (107156460).

Almost surely, 22972375568 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 2972375568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286258400).

2972375568 is an abundant number, since it is smaller than the sum of its proper divisors (5600141232).

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

2972375568 is a wasteful number, since it uses less digits than its factorization.

2972375568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32837 (or 32825 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2972375568 is about 54519.4971363456. The cubic root of 2972375568 is about 1437.8090988796.

The spelling of 2972375568 in words is "two billion, nine hundred seventy-two million, three hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 211 216 422 432 633 844 1266 1688 1899 2532 3376 3798 5064 5697 7596 10128 11394 15192 22788 30384 32609 45576 65218 91152 97827 130436 195654 260872 293481 391308 521744 586962 782616 880443 1173924 1565232 1760886 2347848 3521772 4695696 6880499 7043544 13760998 14087088 20641497 27521996 41282994 55043992 61924491 82565988 110087984 123848982 165131976 185773473 247697964 330263952 371546946 495395928 743093892 990791856 1486187784 2972375568