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70689265920 = 283357213319
BaseRepresentation
bin100000111010101101…
…0001001100100000000
320202110110022202222000
41001311122021210000
52124232423002140
652250232144000
75051513563200
oct1016532114400
9222413282860
1070689265920
1127a8527a829
1211849838000
136887199000
1435c8398400
151c8adb2a30
hex1075689900

70689265920 has 1728 divisors, whose sum is σ = 332746848000. Its totient is φ = 14129676288.

The previous prime is 70689265903. The next prime is 70689265973. The reversal of 70689265920 is 2956298607.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3720487671 + ... + 3720487689.

Almost surely, 270689265920 is an apocalyptic number.

70689265920 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 70689265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166373424000).

70689265920 is an abundant number, since it is smaller than the sum of its proper divisors (262057582080).

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

70689265920 is a wasteful number, since it uses less digits than its factorization.

70689265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 70689265920 in words is "seventy billion, six hundred eighty-nine million, two hundred sixty-five thousand, nine hundred twenty".