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7957656607345 = 54195340732253
BaseRepresentation
bin111001111001100100101…
…0010111001101001110001
31001011202002202211011222021
41303303021102321221301
52020334240042413340
624531410314111441
71450631102055664
oct163631122715161
931152082734867
107957656607345
112598906776655
12a862b711b581
134595331b5933
141d721cb896db
15dbee4889e4a
hex73cc94b9a71

7957656607345 has 16 divisors (see below), whose sum is σ = 9792359719632. Its totient is φ = 6204336624640.

The previous prime is 7957656607343. The next prime is 7957656607379. The reversal of 7957656607345 is 5437066567597.

It can be written as a sum of positive squares in 8 ways, for example, as 1266624197136 + 6691032410209 = 1125444^2 + 2586703^2 .

It is not a de Polignac number, because 7957656607345 - 21 = 7957656607343 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7957656607343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20170762 + ... + 20561491.

It is an arithmetic number, because the mean of its divisors is an integer number (612022482477).

Almost surely, 27957656607345 is an apocalyptic number.

It is an amenable number.

7957656607345 is a deficient number, since it is larger than the sum of its proper divisors (1834703112287).

7957656607345 is a wasteful number, since it uses less digits than its factorization.

7957656607345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40733252.

The product of its (nonzero) digits is 1000188000, while the sum is 70.

The spelling of 7957656607345 in words is "seven trillion, nine hundred fifty-seven billion, six hundred fifty-six million, six hundred seven thousand, three hundred forty-five".

Divisors: 1 5 41 205 953 4765 39073 195365 40732253 203661265 1670022373 8350111865 38817837109 194089185545 1591531321469 7957656607345