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41107070592 = 27337217109131
BaseRepresentation
bin100110010010001011…
…000001111010000000
310221002211012112212000
4212102023001322000
51133141402224332
630515003104000
72653446222600
oct462213017200
9127084175760
1041107070592
1116484962615
127b72812000
133b5153a613
141dbd62ac00
151108cb7b7c
hex9922c1e80

41107070592 has 768 divisors, whose sum is σ = 151954704000. Its totient is φ = 10868981760.

The previous prime is 41107070561. The next prime is 41107070603. The reversal of 41107070592 is 29507070114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 313794367 + ... + 313794497.

Almost surely, 241107070592 is an apocalyptic number.

41107070592 is a gapful number since it is divisible by the number (42) 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 41107070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75977352000).

41107070592 is an abundant number, since it is smaller than the sum of its proper divisors (110847633408).

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

41107070592 is a wasteful number, since it uses less digits than its factorization.

41107070592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 41107070592 in words is "forty-one billion, one hundred seven million, seventy thousand, five hundred ninety-two".