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132765570263305 = 5723753276338749
BaseRepresentation
bin11110001011111111100100…
…101001110110100100001001
3122102002021010212101000222101
4132023333210221312210021
5114400212341441411210
61150211354434353401
736651665412113500
oct3613774451664411
9572067125330871
10132765570263305
1139337620249a61
1212a82a34a2b861
13591097ca58955
1424adc6050d837
15105380cdcea3a
hex78bfe4a76909

132765570263305 has 48 divisors (see below), whose sum is σ = 193930113330000. Its totient is φ = 86907430891008.

The previous prime is 132765570263303. The next prime is 132765570263377. The reversal of 132765570263305 is 503362075567231.

It can be written as a sum of positive squares in 8 ways, for example, as 1059374089081 + 131706196174224 = 1029259^2 + 11476332^2 .

It is not a de Polignac number, because 132765570263305 - 21 = 132765570263303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132765570263303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137688930 + ... + 138649819.

It is an arithmetic number, because the mean of its divisors is an integer number (4040210694375).

Almost surely, 2132765570263305 is an apocalyptic number.

It is an amenable number.

132765570263305 is a deficient number, since it is larger than the sum of its proper divisors (61164543066695).

132765570263305 is a wasteful number, since it uses less digits than its factorization.

132765570263305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276338858 (or 276338851 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 55.

The spelling of 132765570263305 in words is "one hundred thirty-two trillion, seven hundred sixty-five billion, five hundred seventy million, two hundred sixty-three thousand, three hundred five".

Divisors: 1 5 7 35 37 49 53 185 245 259 265 371 1295 1813 1855 1961 2597 9065 9805 12985 13727 68635 96089 480445 276338749 1381693745 1934371243 9671856215 10224533713 13540598701 14645953697 51122668565 67702993505 71571735991 73229768485 102521675879 357858679955 501002151937 512608379395 541900286789 717651731153 2505010759685 2709501433945 3588258655765 3793302007523 18966510037615 26553114052661 132765570263305