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41393696004 = 2236107132667
BaseRepresentation
bin100110100011010000…
…011010110100000100
310221211210112122000000
4212203100122310010
51134233241233004
631003242321300
72663526416313
oct464320326404
9127753478000
1041393696004
1116611731521
1280327b9230
133b98a3485b
14200971c27a
151124033c39
hex9a341ad04

41393696004 has 84 divisors (see below), whose sum is σ = 109624629744. Its totient is φ = 13668843312.

The previous prime is 41393695961. The next prime is 41393696023. The reversal of 41393696004 is 40069639314.

41393696004 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 36 + 9 + 600 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 245679 + ... + 378345.

It is an arithmetic number, because the mean of its divisors is an integer number (1305055116).

Almost surely, 241393696004 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 41393696004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54812314872).

41393696004 is an abundant number, since it is smaller than the sum of its proper divisors (68230933740).

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

41393696004 is a wasteful number, since it uses less digits than its factorization.

41393696004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132796 (or 132779 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 41393696004 in words is "forty-one billion, three hundred ninety-three million, six hundred ninety-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 729 963 972 1284 1458 1926 2889 2916 3852 5778 8667 11556 17334 26001 34668 52002 78003 104004 132667 156006 265334 312012 398001 530668 796002 1194003 1592004 2388006 3582009 4776012 7164018 10746027 14195369 14328036 21492054 28390738 32238081 42586107 42984108 56781476 64476162 85172214 96714243 127758321 128952324 170344428 193428486 255516642 383274963 386856972 511033284 766549926 1149824889 1533099852 2299649778 3449474667 4599299556 6898949334 10348424001 13797898668 20696848002 41393696004