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40664471936 = 271123737039
BaseRepresentation
bin100101110111110010…
…101001100110000000
310212221222101012122012
4211313302221212000
51131240101100221
630403032432052
72636463210524
oct456762514600
9125858335565
1040664471936
1116278041700
127a6a548628
133ab093271a
141d7a937d84
1510ceedc65b
hex977ca9980

40664471936 has 96 divisors (see below), whose sum is σ = 89296838400. Its totient is φ = 18431677440.

The previous prime is 40664471933. The next prime is 40664471977. The reversal of 40664471936 is 63917446604.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40664471933) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5773505 + ... + 5780543.

It is an arithmetic number, because the mean of its divisors is an integer number (930175400).

Almost surely, 240664471936 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 40664471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44648419200).

40664471936 is an abundant number, since it is smaller than the sum of its proper divisors (48632366464).

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

40664471936 is a wasteful number, since it uses less digits than its factorization.

40664471936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7425 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 40664471936 in words is "forty billion, six hundred sixty-four million, four hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 373 484 704 746 968 1408 1492 1936 2984 3872 4103 5968 7039 7744 8206 11936 14078 15488 16412 23872 28156 32824 45133 47744 56312 65648 77429 90266 112624 131296 154858 180532 225248 262592 309716 361064 450496 525184 619432 722128 851719 900992 1238864 1444256 1703438 2477728 2625547 2888512 3406876 4955456 5251094 5777024 6813752 9910912 10502188 13627504 21004376 27255008 28881017 42008752 54510016 57762034 84017504 109020032 115524068 168035008 231048136 317691187 336070016 462096272 635382374 924192544 1270764748 1848385088 2541529496 3696770176 5083058992 10166117984 20332235968 40664471936