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70541401344 = 2834171139227
BaseRepresentation
bin100000110110010011…
…0000101110100000000
320202002011002110220020
41001230212011310000
52123432044320334
652223431013440
75045040006141
oct1015446056400
9222064073806
1070541401344
1127a098669a7
121180820a280
13686266708b
1435b28a7ac8
151c7ce05e49
hex106c985d00

70541401344 has 288 divisors, whose sum is σ = 197299307520. Its totient is φ = 22355558400.

The previous prime is 70541401309. The next prime is 70541401369. The reversal of 70541401344 is 44310414507.

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 31 ways as a sum of consecutive naturals, for example, 310754959 + ... + 310755185.

It is an arithmetic number, because the mean of its divisors is an integer number (685067040).

Almost surely, 270541401344 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 70541401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98649653760).

70541401344 is an abundant number, since it is smaller than the sum of its proper divisors (126757906176).

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

70541401344 is a wasteful number, since it uses less digits than its factorization.

70541401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 70541401344 in words is "seventy billion, five hundred forty-one million, four hundred one thousand, three hundred forty-four".