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70977495712 = 2541238122721
BaseRepresentation
bin100001000011010010…
…1101010001010100000
320210012112200100220111
41002012211222022200
52130330214330322
652335010021104
75061613521244
oct1020645521240
9223175610814
1070977495712
1128112a45072
121190a277794
136901b05596
143614786424
151ca6349177
hex108696a2a0

70977495712 has 48 divisors (see below), whose sum is σ = 143211585384. Its totient is φ = 34607104000.

The previous prime is 70977495709. The next prime is 70977495731. The reversal of 70977495712 is 21759477907.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14255404816 + 56722090896 = 119396^2 + 238164^2 .

It is a super-3 number, since 3×709774957123 (a number of 34 digits) contains 333 as substring.

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, 3112512 + ... + 3135232.

Almost surely, 270977495712 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 70977495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71605792692).

70977495712 is an abundant number, since it is smaller than the sum of its proper divisors (72234089672).

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

70977495712 is a wasteful number, since it uses less digits than its factorization.

70977495712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25153 (or 25145 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 58.

The spelling of 70977495712 in words is "seventy billion, nine hundred seventy-seven million, four hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 2381 4762 9524 19048 22721 38096 45442 76192 90884 97621 181768 195242 363536 390484 727072 780968 931561 1561936 1863122 3123872 3726244 7452488 14904976 29809952 54098701 108197402 216394804 432789608 865579216 1731158432 2218046741 4436093482 8872186964 17744373928 35488747856 70977495712