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41715960552 = 23337239241479
BaseRepresentation
bin100110110110011101…
…110000101011101000
310222200020221100212000
4212312131300223220
51140413241214202
631055233451000
73004521546150
oct466635605350
9128606840760
1041715960552
1116767632662
128102710a60
133c1a729736
14203a449760
15114248e91c
hex9b6770ae8

41715960552 has 256 divisors, whose sum is σ = 133816320000. Its totient is φ = 11795051520.

The previous prime is 41715960529. The next prime is 41715960569. The reversal of 41715960552 is 25506951714.

It is a happy number.

41715960552 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 5 + 96 + 0 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41715960498 and 41715960507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87089449 + ... + 87089927.

It is an arithmetic number, because the mean of its divisors is an integer number (522720000).

Almost surely, 241715960552 is an apocalyptic number.

41715960552 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 41715960552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66908160000).

41715960552 is an abundant number, since it is smaller than the sum of its proper divisors (92100359448).

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

41715960552 is a wasteful number, since it uses less digits than its factorization.

41715960552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 41715960552 in words is "forty-one billion, seven hundred fifteen million, nine hundred sixty thousand, five hundred fifty-two".