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10415755008 = 28341926437
BaseRepresentation
bin10011011001101001…
…11100111100000000
3222212220002011210000
421230310330330000
5132312413130013
64441313440000
7516053312451
oct115464747400
928786064700
1010415755008
11446547099a
122028270000
13c9cb86c59
1470b469128
1540e634973
hex26cd3cf00

10415755008 has 180 divisors, whose sum is σ = 32693759560. Its totient is φ = 3289061376.

The previous prime is 10415755003. The next prime is 10415755037. The reversal of 10415755008 is 80055751401.

10415755008 is a `hidden beast` number, since 10 + 41 + 57 + 550 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415755001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380766 + ... + 407202.

Almost surely, 210415755008 is an apocalyptic number.

10415755008 is a gapful number since it is divisible by the number (18) 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 10415755008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346879780).

10415755008 is an abundant number, since it is smaller than the sum of its proper divisors (22278004552).

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

10415755008 is an equidigital number, since it uses as much as digits as its factorization.

10415755008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26484 (or 26461 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 10415755008 in words is "ten billion, four hundred fifteen million, seven hundred fifty-five thousand, eight".