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70400462880 = 253511195711229
BaseRepresentation
bin100000110010000110…
…0011101000000100000
320201201022220001200010
41001210030131000200
52123140004303010
652201434124520
75041406026626
oct1014414350040
9221638801603
1070400462880
1127947253830
1211788b80740
13683c3bb837
14359bc9b516
151c70866620
hex106431d020

70400462880 has 384 divisors, whose sum is σ = 255307852800. Its totient is φ = 16127078400.

The previous prime is 70400462879. The next prime is 70400462887. The reversal of 70400462880 is 8826400407.

It is not an unprimeable number, because it can be changed into a prime (70400462887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57282106 + ... + 57283334.

It is an arithmetic number, because the mean of its divisors is an integer number (664864200).

Almost surely, 270400462880 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 70400462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127653926400).

70400462880 is an abundant number, since it is smaller than the sum of its proper divisors (184907389920).

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

70400462880 is a wasteful number, since it uses less digits than its factorization.

70400462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 70400462880 in words is "seventy billion, four hundred million, four hundred sixty-two thousand, eight hundred eighty".