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37490220672 = 273239408497
BaseRepresentation
bin100010111010100101…
…110101111010000000
310120202202110112111120
4202322211311322000
51103234444030142
625120041312240
72465020421622
oct427245657200
9116682415446
1037490220672
1114999285753
127323495680
1336c610ab38
141b59132c12
15e964c87ec
hex8ba975e80

37490220672 has 64 divisors (see below), whose sum is σ = 100000310400. Its totient is φ = 12444422144.

The previous prime is 37490220653. The next prime is 37490220701. The reversal of 37490220672 is 27602209473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×374902206722 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 112473 + ... + 296024.

It is an arithmetic number, because the mean of its divisors is an integer number (1562504850).

Almost surely, 237490220672 is an apocalyptic number.

37490220672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37490220672 is an abundant number, since it is smaller than the sum of its proper divisors (62510089728).

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

37490220672 is a wasteful number, since it uses less digits than its factorization.

37490220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408753 (or 408741 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 37490220672 in words is "thirty-seven billion, four hundred ninety million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 384 478 717 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 30592 45888 91776 408497 816994 1225491 1633988 2450982 3267976 4901964 6535952 9803928 13071904 19607856 26143808 39215712 52287616 78431424 97630783 156862848 195261566 292892349 390523132 585784698 781046264 1171569396 1562092528 2343138792 3124185056 4686277584 6248370112 9372555168 12496740224 18745110336 37490220672