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100050051027960 = 23345114316513319
BaseRepresentation
bin10110101111111010110111…
…110000000101001111111000
3111010020200200002011012010000
4112233322313300011033320
5101103210001030343320
6552442205305553000
730034243350643455
oct2657726760051770
9433220602135100
10100050051027960
1129973a965622a0
12b27a4537a5760
1343a98aa640c17
141a9c63c22682c
15b877e8893c90
hex5afeb7c053f8

100050051027960 has 320 divisors, whose sum is σ = 367701404083200. Its totient is φ = 24198279033600.

The previous prime is 100050051027911. The next prime is 100050051027989. The reversal of 100050051027960 is 69720150050001.

100050051027960 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 50 + 0 + 510 + 2 + 7 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12104181 + ... + 18617499.

It is an arithmetic number, because the mean of its divisors is an integer number (1149066887760).

Almost surely, 2100050051027960 is an apocalyptic number.

100050051027960 is a gapful number since it is divisible by the number (10) 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 100050051027960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183850702041600).

100050051027960 is an abundant number, since it is smaller than the sum of its proper divisors (267651353055240).

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

100050051027960 is a wasteful number, since it uses less digits than its factorization.

100050051027960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513784 (or 6513771 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 100050051027960 in words is "one hundred trillion, fifty billion, fifty-one million, twenty-seven thousand, nine hundred sixty".