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70700428800 = 293452193797
BaseRepresentation
bin100000111011000010…
…0101110111000000000
320202111020022220120000
41001312010232320000
52124243302210200
652251311320000
75052010505061
oct1016604567000
9222436286500
1070700428800
1127a90604651
1211851520000
1368895a6c71
1435c9a62568
151c8bd6a300
hex107612ee00

70700428800 has 1200 divisors, whose sum is σ = 285800093040. Its totient is φ = 17199267840.

The previous prime is 70700428789. The next prime is 70700428831. The reversal of 70700428800 is 882400707.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 728870352 + ... + 728870448.

Almost surely, 270700428800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70700428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142900046520).

70700428800 is an abundant number, since it is smaller than the sum of its proper divisors (215099664240).

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

70700428800 is a wasteful number, since it uses less digits than its factorization.

70700428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

It can be divided in two parts, 70700 and 428800, that added together give a triangular number (499500 = T999).

The spelling of 70700428800 in words is "seventy billion, seven hundred million, four hundred twenty-eight thousand, eight hundred".