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968124148489 = 947210392
BaseRepresentation
bin11100001011010001011…
…00100010101100001001
310102112220020101101121001
432011220230202230021
5111330204240222424
62020430004215001
7126642006325231
oct16055054425411
93375806341531
10968124148489
1134364092a963
1213776699a461
13703a83a6644
1434c00c1ccc1
151a2b30ee844
hexe168b22b09

968124148489 has 9 divisors (see below), whose sum is σ = 970081201677. Its totient is φ = 966171041484.

The previous prime is 968124148487. The next prime is 968124148493. The reversal of 968124148489 is 984841421869.

The square root of 968124148489 is 983933.

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

It is not a de Polignac number, because 968124148489 - 21 = 968124148487 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 968124148489.

It is not an unprimeable number, because it can be changed into a prime (968124148487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 931784032 + ... + 931785070.

Almost surely, 2968124148489 is an apocalyptic number.

968124148489 is the 983933-rd square number.

968124148489 is the 491967-th centered octagonal number.

It is an amenable number.

968124148489 is a deficient number, since it is larger than the sum of its proper divisors (1957053188).

968124148489 is an frugal number, since it uses more digits than its factorization.

968124148489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 1986 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

Multiplying 968124148489 by its sum of digits (64), we get a square (61959945503296 = 78714642).

The spelling of 968124148489 in words is "nine hundred sixty-eight billion, one hundred twenty-four million, one hundred forty-eight thousand, four hundred eighty-nine".

Divisors: 1 947 1039 896809 983933 1079521 931784551 1022306387 968124148489