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41675490944 = 2712723311003
BaseRepresentation
bin100110110100000011…
…011000011010000000
310222120102210021222122
4212310003120122000
51140322411202234
631051230223412
73003520554023
oct466403303200
9128512707878
1041675490944
11167468011aa
1280b1054b68
133c1222a219
142034d131ba
15113db4892e
hex9b40d8680

41675490944 has 64 divisors (see below), whose sum is σ = 84045911040. Its totient is φ = 20583069696.

The previous prime is 41675490943. The next prime is 41675490953. The reversal of 41675490944 is 44909457614.

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

It is a super-2 number, since 2×416754909442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41675490943) by changing a digit.

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, 3782147 + ... + 3793149.

It is an arithmetic number, because the mean of its divisors is an integer number (1313217360).

Almost surely, 241675490944 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 41675490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42022955520).

41675490944 is an abundant number, since it is smaller than the sum of its proper divisors (42370420096).

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

41675490944 is a wasteful number, since it uses less digits than its factorization.

41675490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11377 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 41675490944 in words is "forty-one billion, six hundred seventy-five million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 128 233 254 466 508 932 1016 1864 2032 3728 4064 7456 8128 11003 14912 16256 22006 29591 29824 44012 59182 88024 118364 176048 236728 352096 473456 704192 946912 1397381 1408384 1893824 2563699 2794762 3787648 5127398 5589524 10254796 11179048 20509592 22358096 41019184 44716192 82038368 89432384 164076736 178864768 325589773 328153472 651179546 1302359092 2604718184 5209436368 10418872736 20837745472 41675490944