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70128074016 = 2532721113193159
BaseRepresentation
bin100000101001111110…
…1010111110100100000
320201000100100021101200
41001103331113310200
52122110241332031
652114424001200
75031560536200
oct1012375276440
9221010307350
1070128074016
1127817518a70
1211711900200
1367c7b3a5b0
143573a34400
151c569ad8e6
hex1053f57d20

70128074016 has 1728 divisors, whose sum is σ = 301161369600. Its totient is φ = 15153868800.

The previous prime is 70128073949. The next prime is 70128074017. The reversal of 70128074016 is 61047082107.

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

It is not an unprimeable number, because it can be changed into a prime (70128074017) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1188611395 + ... + 1188611453.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 270128074016 is an apocalyptic number.

70128074016 is a gapful number since it is divisible by the number (76) 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 70128074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

70128074016 is an abundant number, since it is smaller than the sum of its proper divisors (231033295584).

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

70128074016 is a wasteful number, since it uses less digits than its factorization.

70128074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 70128074016 in words is "seventy billion, one hundred twenty-eight million, seventy-four thousand, sixteen".