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70721956096 = 2811215112
BaseRepresentation
bin100000111011101011…
…0110110100100000000
320202112201211121110021
41001313112312210000
52124314310043341
652253400543224
75052361464631
oct1016726664400
9222481747407
1070721956096
1127aa1778400
1211858781b14
136890ba35cc
1435cc867888
151c8dbbd9d1
hex10775b6900

70721956096 has 81 divisors (see below), whose sum is σ = 155270512579. Its totient is φ = 32125068800.

The previous prime is 70721956093. The next prime is 70721956121. The reversal of 70721956096 is 69065912707.

It is a happy number.

The square root of 70721956096 is 265936.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×707219560962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70721956091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46803981 + ... + 46805491.

Almost surely, 270721956096 is an apocalyptic number.

70721956096 is the 265936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70721956096

70721956096 is an abundant number, since it is smaller than the sum of its proper divisors (84548556483).

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

70721956096 is an frugal number, since it uses more digits than its factorization.

70721956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 70721956096 in words is "seventy billion, seven hundred twenty-one million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1511 1936 2816 3022 3872 6044 7744 12088 15488 16621 24176 30976 33242 48352 66484 96704 132968 182831 193408 265936 365662 386816 531872 731324 1063744 1462648 2127488 2283121 2925296 4254976 4566242 5850592 9132484 11701184 18264968 23402368 25114331 36529936 46804736 50228662 73059872 100457324 146119744 200914648 276257641 292239488 401829296 552515282 584478976 803658592 1105030564 1607317184 2210061128 3214634368 4420122256 6429268736 8840244512 17680489024 35360978048 70721956096