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70996496768 = 2721113991879
BaseRepresentation
bin100001000011110111…
…0001001000110000000
320210020212102201110022
41002013232021012000
52130400100344033
652340525153012
75062234160021
oct1020756110600
9223225381408
1070996496768
112812274291a
12119146bb768
136905a29102
1436170d0c48
151ca7d4e098
hex1087b89180

70996496768 has 64 divisors (see below), whose sum is σ = 142285920000. Its totient is φ = 35285967360.

The previous prime is 70996496743. The next prime is 70996496801. The reversal of 70996496768 is 86769469907.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 37783253 + ... + 37785131.

It is an arithmetic number, because the mean of its divisors is an integer number (2223217500).

Almost surely, 270996496768 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 70996496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71142960000).

70996496768 is an abundant number, since it is smaller than the sum of its proper divisors (71289423232).

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

70996496768 is a wasteful number, since it uses less digits than its factorization.

70996496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 71.

The spelling of 70996496768 in words is "seventy billion, nine hundred ninety-six million, four hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 1399 1688 1879 2798 3376 3758 5596 6752 7516 11192 13504 15032 22384 27008 30064 44768 60128 89536 120256 179072 240512 295189 396469 590378 792938 1180756 1585876 2361512 2628721 3171752 4723024 5257442 6343504 9446048 10514884 12687008 18892096 21029768 25374016 37784192 42059536 50748032 84119072 168238144 336476288 554660131 1109320262 2218640524 4437281048 8874562096 17749124192 35498248384 70996496768