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42979195757 = 2957711932153
BaseRepresentation
bin101000000001110000…
…100111101101101101
311002221021221100210002
4220001300213231231
51201010133231012
631424441154045
73051031064501
oct500160475555
9132837840702
1042979195757
11172556a99a3
1283b578b925
13408c3615a4
14211a11a301
1511b831b7c2
hexa01c27b6d

42979195757 has 16 divisors (see below), whose sum is σ = 44596329840. Its totient is φ = 41371287552.

The previous prime is 42979195741. The next prime is 42979195817. The reversal of 42979195757 is 75759197924.

It can be written as a sum of positive squares in 8 ways, for example, as 565440841 + 42413754916 = 23779^2 + 205946^2 .

It is a cyclic number.

It is not a de Polignac number, because 42979195757 - 24 = 42979195741 is a prime.

It is a super-2 number, since 2×429791957572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42979195693 and 42979195702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979195717) 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 15 ways as a sum of consecutive naturals, for example, 19961393 + ... + 19963545.

It is an arithmetic number, because the mean of its divisors is an integer number (2787270615).

Almost surely, 242979195757 is an apocalyptic number.

It is an amenable number.

42979195757 is a deficient number, since it is larger than the sum of its proper divisors (1617134083).

42979195757 is a wasteful number, since it uses less digits than its factorization.

42979195757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952.

The product of its digits is 50009400, while the sum is 65.

The spelling of 42979195757 in words is "forty-two billion, nine hundred seventy-nine million, one hundred ninety-five thousand, seven hundred fifty-seven".

Divisors: 1 29 577 1193 2153 16733 34597 62437 688361 1242281 2568529 19962469 36026149 74487341 1482041233 42979195757