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120976665489 = 3226924312
BaseRepresentation
bin111000010101011000…
…1010110101110010001
3102120021001221100200100
41300222301112232101
53440230011243424
6131324221443013
711511625455441
oct1605261265621
9376231840610
10120976665489
11473401a0389
121b542a10469
13b53c644444
145bd8d3c121
153230ac7dc9
hex1c2ac56b91

120976665489 has 27 divisors (see below), whose sum is σ = 175803989179. Its totient is φ = 80164862160.

The previous prime is 120976665451. The next prime is 120976665541. The reversal of 120976665489 is 984566679021.

The square root of 120976665489 is 347817.

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

It can be written as a sum of positive squares in only one way, i.e., 7959673089 + 113016992400 = 89217^2 + 336180^2 .

It is not a de Polignac number, because 120976665489 - 211 = 120976663441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120976665409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280688104 + ... + 280688534.

Almost surely, 2120976665489 is an apocalyptic number.

120976665489 is the 347817-th square number.

120976665489 is the 173909-th centered octagonal number.

It is an amenable number.

120976665489 is a deficient number, since it is larger than the sum of its proper divisors (54827323690).

120976665489 is an frugal number, since it uses more digits than its factorization.

120976665489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 120976665489 in words is "one hundred twenty billion, nine hundred seventy-six million, six hundred sixty-five thousand, four hundred eighty-nine".

Divisors: 1 3 9 269 431 807 1293 2421 3879 72361 115939 185761 217083 347817 557283 651249 1043451 1671849 31187591 49969709 93562773 149909127 280688319 449727381 13441851721 40325555163 120976665489