Search a number
-
+
672765575210144 = 25132612039375713
BaseRepresentation
bin1001100011111000000111000…
…1001000001010010010100000
310021020001202112200012000111122
42120332001301020022102200
51201140042344223211034
610342504123310431412
7261464465056320413
oct23076016110122240
93236052480160448
10672765575210144
11185400307275499
1263556585b02568
1322b516a1a29900
14bc1c055971b7a
1552ba29ab7562e
hex263e07120a4a0

672765575210144 has 72 divisors (see below), whose sum is σ = 1457741681615772. Its totient is φ = 305416906629120.

The previous prime is 672765575210119. The next prime is 672765575210159. The reversal of 672765575210144 is 441012575567276.

It can be written as a sum of positive squares in 6 ways, for example, as 42624445987600 + 630141129222544 = 6528740^2 + 25102612^2 .

It is a super-2 number, since 2×6727655752101442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1019357969 + ... + 1020017744.

Almost surely, 2672765575210144 is an apocalyptic number.

It is an amenable number.

672765575210144 is an abundant number, since it is smaller than the sum of its proper divisors (784976106405628).

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

672765575210144 is a wasteful number, since it uses less digits than its factorization.

672765575210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039375810 (or 2039375789 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 62.

The spelling of 672765575210144 in words is "six hundred seventy-two trillion, seven hundred sixty-five billion, five hundred seventy-five million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 169 208 244 338 416 488 676 793 976 1352 1586 1952 2704 3172 5408 6344 10309 12688 20618 25376 41236 82472 164944 329888 2039375713 4078751426 8157502852 16315005704 26511884269 32630011408 53023768538 65260022816 106047537076 124401918493 212095074152 248803836986 344654495497 424190148304 497607673972 689308990994 848380296608 995215347944 1378617981988 1617224940409 1990430695888 2757235963976 3234449880818 3980861391776 5514471927952 6468899761636 11028943855904 12937799523272 21023924225317 25875599046544 42047848450634 51751198093088 84095696901268 168191393802536 336382787605072 672765575210144