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70145143776 = 25331715131627
BaseRepresentation
bin100000101010011111…
…0011111001111100000
320201001112110111201000
41001110332133033200
52122124124100101
652120233512000
75032155612231
oct1012476371740
9221045414630
1070145143776
1127826117804
1211717572600
1367cb536046
143575dd9088
151c58231486
hex1054f9f3e0

70145143776 has 192 divisors, whose sum is σ = 218066204160. Its totient is φ = 21859891200.

The previous prime is 70145143709. The next prime is 70145143777. The reversal of 70145143776 is 67734154107.

70145143776 is a `hidden beast` number, since 7 + 0 + 145 + 1 + 437 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70145143777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202075 + ... + 2233701.

It is an arithmetic number, because the mean of its divisors is an integer number (1135761480).

Almost surely, 270145143776 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 70145143776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109033102080).

70145143776 is an abundant number, since it is smaller than the sum of its proper divisors (147921060384).

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

70145143776 is a wasteful number, since it uses less digits than its factorization.

70145143776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31814 (or 31800 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 70145143776 in words is "seventy billion, one hundred forty-five million, one hundred forty-three thousand, seven hundred seventy-six".