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41380077696 = 273313476149
BaseRepresentation
bin100110100010011100…
…011110000010000000
310221210211220202012020
4212202130132002000
51134221244441241
631002034401440
72663302566636
oct464234360200
9127724822166
1041380077696
1116604a7a921
12802a130280
133b95c77099
1420079b5356
151122c43b66
hex9a271e080

41380077696 has 64 divisors (see below), whose sum is σ = 113461536000. Its totient is φ = 13348408320.

The previous prime is 41380077671. The next prime is 41380077701. The reversal of 41380077696 is 69677008314.

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

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 7 ways as a sum of consecutive naturals, for example, 1726171 + ... + 1749978.

It is an arithmetic number, because the mean of its divisors is an integer number (1772836500).

Almost surely, 241380077696 is an apocalyptic number.

It is an amenable number.

41380077696 is an abundant number, since it is smaller than the sum of its proper divisors (72081458304).

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

41380077696 is a wasteful number, since it uses less digits than its factorization.

41380077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476197 (or 3476185 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 41380077696 in words is "forty-one billion, three hundred eighty million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 3476149 6952298 10428447 13904596 20856894 27809192 41713788 55618384 83427576 107760619 111236768 166855152 215521238 222473536 323281857 333710304 431042476 444947072 646563714 667420608 862084952 1293127428 1334841216 1724169904 2586254856 3448339808 5172509712 6896679616 10345019424 13793359232 20690038848 41380077696