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1268962056 = 233217624473
BaseRepresentation
bin100101110100010…
…1101001100001000
310021102202221200200
41023220231030020
510044323241211
6325530132200
743305666555
oct11350551410
93242687620
101268962056
115a1328a7a
122b4b81060
13172b8b72b
14c0761a2c
157660db56
hex4ba2d308

1268962056 has 24 divisors (see below), whose sum is σ = 3436772430. Its totient is φ = 422987328.

The previous prime is 1268962043. The next prime is 1268962073. The reversal of 1268962056 is 6502698621.

1268962056 is a `hidden beast` number, since 12 + 6 + 8 + 9 + 620 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 969325956 + 299636100 = 31134^2 + 17310^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×12689620562 = 3220529399135494272, which contains 22 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 5 ways as a sum of consecutive naturals, for example, 8812165 + ... + 8812308.

Almost surely, 21268962056 is an apocalyptic number.

It is an amenable number.

1268962056 is an abundant number, since it is smaller than the sum of its proper divisors (2167810374).

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

1268962056 is a wasteful number, since it uses less digits than its factorization.

1268962056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17624485 (or 17624478 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1268962056 is about 35622.4936802577. The cubic root of 1268962056 is about 1082.6370332881.

The spelling of 1268962056 in words is "one billion, two hundred sixty-eight million, nine hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17624473 35248946 52873419 70497892 105746838 140995784 158620257 211493676 317240514 422987352 634481028 1268962056