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41360070528 = 273373233741
BaseRepresentation
bin100110100001010000…
…001001011110000000
310221202110021021112000
4212201100021132000
51134201134224103
631000041504000
72662640541000
oct464120113600
9127673237460
1041360070528
11165a4755177
1280234a2000
133b91a9061a
142005088000
1511210e0aa3
hex9a1409780

41360070528 has 1024 divisors, whose sum is σ = 156280320000. Its totient is φ = 10729635840.

The previous prime is 41360070509. The next prime is 41360070533. The reversal of 41360070528 is 82507006314.

41360070528 is a `hidden beast` number, since 4 + 1 + 3 + 60 + 0 + 70 + 528 = 666.

It is a super-2 number, since 2×413600705282 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41360070492 and 41360070501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1008782188 + ... + 1008782228.

It is an arithmetic number, because the mean of its divisors is an integer number (152617500).

Almost surely, 241360070528 is an apocalyptic number.

41360070528 is a gapful number since it is divisible by the number (48) 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 41360070528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160000).

41360070528 is an abundant number, since it is smaller than the sum of its proper divisors (114920249472).

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

41360070528 is a wasteful number, since it uses less digits than its factorization.

41360070528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41360070528 in words is "forty-one billion, three hundred sixty million, seventy thousand, five hundred twenty-eight".