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41092296960 = 2835112136803
BaseRepresentation
bin100110010001010010…
…101011000100000000
310221001210101222020110
4212101102223010000
51133124112000320
630513314311320
72653206522021
oct462122530400
9127053358213
1041092296960
1116477591a00
127b69888540
133b4b467020
141dbb6a2c48
15110784a5e0
hex9914ab100

41092296960 has 432 divisors, whose sum is σ = 155373204672. Its totient is φ = 9194127360.

The previous prime is 41092296943. The next prime is 41092296979. The reversal of 41092296960 is 6969229014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6036919 + ... + 6043721.

It is an arithmetic number, because the mean of its divisors is an integer number (359660196).

Almost surely, 241092296960 is an apocalyptic number.

41092296960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41092296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77686602336).

41092296960 is an abundant number, since it is smaller than the sum of its proper divisors (114280907712).

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

41092296960 is a wasteful number, since it uses less digits than its factorization.

41092296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 41092296960 in words is "forty-one billion, ninety-two million, two hundred ninety-six thousand, nine hundred sixty".