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70050355200 = 2113452719127
BaseRepresentation
bin100000100111101010…
…0111001100000000000
320200210221002202020000
41001033110321200000
52121430342331300
652103010120000
75026625123550
oct1011724714000
9220727082200
1070050355200
1127787665741
12116ab880000
1367b49c8627
1435675a3160
151c4ec5ac00
hex104f539800

70050355200 has 1440 divisors, whose sum is σ = 314579865600. Its totient is φ = 15049359360.

The previous prime is 70050355169. The next prime is 70050355201. The reversal of 70050355200 is 255305007.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70050355201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 551577537 + ... + 551577663.

It is an arithmetic number, because the mean of its divisors is an integer number (218458240).

Almost surely, 270050355200 is an apocalyptic number.

70050355200 is a gapful number since it is divisible by the number (70) 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 70050355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157289932800).

70050355200 is an abundant number, since it is smaller than the sum of its proper divisors (244529510400).

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

70050355200 is a wasteful number, since it uses less digits than its factorization.

70050355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The spelling of 70050355200 in words is "seventy billion, fifty million, three hundred fifty-five thousand, two hundred".