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41677032640 = 265337386471
BaseRepresentation
bin100110110100001001…
…010000110011000000
310222120112200121210111
4212310021100303000
51140323310021030
631051323241104
73003536634535
oct466411206300
9128515617714
1041677032640
1116747664531
1280b1679194
133c12649b79
1420351d4d8c
15113dd5062a
hex9b4250cc0

41677032640 has 56 divisors (see below), whose sum is σ = 99538182432. Its totient is φ = 16621301760.

The previous prime is 41677032581. The next prime is 41677032641. The reversal of 41677032640 is 4623077614.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41677032593 and 41677032602.

It is not an unprimeable number, because it can be changed into a prime (41677032641) 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, 85396 + ... + 301075.

Almost surely, 241677032640 is an apocalyptic number.

41677032640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41677032640 is an abundant number, since it is smaller than the sum of its proper divisors (57861149792).

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

41677032640 is a wasteful number, since it uses less digits than its factorization.

41677032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386825 (or 386815 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 41677032640 in words is "forty-one billion, six hundred seventy-seven million, thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 5392 6740 10784 13480 21568 26960 53920 107840 386471 772942 1545884 1932355 3091768 3864710 6183536 7729420 12367072 15458840 24734144 30917680 61835360 123670720 130240727 260481454 520962908 651203635 1041925816 1302407270 2083851632 2604814540 4167703264 5209629080 8335406528 10419258160 20838516320 41677032640