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70401996672 = 27371012111229
BaseRepresentation
bin100000110010001001…
…0010011011110000000
320201201102202222122020
41001210102103132000
52123140402343142
652201531041440
75041425045420
oct1014422233600
9221642688566
1070401996672
1127948101127
12117895a0280
13683c8079c7
14359c17a480
151c70a6acec
hex1064493780

70401996672 has 256 divisors, whose sum is σ = 217035763200. Its totient is φ = 19805184000.

The previous prime is 70401996659. The next prime is 70401996697. The reversal of 70401996672 is 27669910407.

It is a super-3 number, since 3×704019966723 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 57283354 + ... + 57284582.

It is an arithmetic number, because the mean of its divisors is an integer number (847795950).

Almost surely, 270401996672 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 70401996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108517881600).

70401996672 is an abundant number, since it is smaller than the sum of its proper divisors (146633766528).

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

70401996672 is a wasteful number, since it uses less digits than its factorization.

70401996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 70401996672 in words is "seventy billion, four hundred one million, nine hundred ninety-six thousand, six hundred seventy-two".