Search a number
-
+
125450769015 = 325112131799901
BaseRepresentation
bin111010011010101110…
…0101101001001110111
3102222210212202100220100
41310311130231021313
54023410344102030
6133344205205143
712030533641155
oct1646534551167
9388725670810
10125450769015
1149226763600
12203912607b3
13baa3551990
1461012263d5
1533e379d360
hex1d3572d277

125450769015 has 144 divisors (see below), whose sum is σ = 258862836960. Its totient is φ = 55826496000.

The previous prime is 125450768941. The next prime is 125450769043. The reversal of 125450769015 is 510967054521.

It is a happy number.

125450769015 is a `hidden beast` number, since 1 + 2 + 54 + 507 + 6 + 90 + 1 + 5 = 666.

It is not a de Polignac number, because 125450769015 - 29 = 125450768503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12665565 + ... + 12675465.

It is an arithmetic number, because the mean of its divisors is an integer number (1797658590).

Almost surely, 2125450769015 is an apocalyptic number.

125450769015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125450769015 is an abundant number, since it is smaller than the sum of its proper divisors (133412067945).

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

125450769015 is a wasteful number, since it uses less digits than its factorization.

125450769015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 125450769015 in words is "one hundred twenty-five billion, four hundred fifty million, seven hundred sixty-nine thousand, fifteen".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 121 143 165 179 195 363 429 495 537 585 605 715 895 1089 1287 1573 1611 1815 1969 2145 2327 2685 4719 5445 5907 6435 6981 7865 8055 9845 9901 11635 14157 17721 20943 21659 23595 25597 29535 29703 34905 49505 64977 70785 76791 88605 89109 104715 108295 108911 127985 128713 148515 194931 230373 281567 324885 326733 383955 386139 445545 544555 643565 844701 974655 980199 1151865 1158417 1198021 1407835 1415843 1633665 1772279 1930695 2534103 3594063 4223505 4247529 4900995 5316837 5792085 5990105 7079215 8861395 10782189 12670515 12742587 15574273 15950511 17970315 19495069 21237645 23039627 26584185 46722819 53910945 58485207 63712935 69118881 77871365 79752555 97475345 115198135 140168457 175455621 207356643 214445759 233614095 253435897 292426035 345594405 643337277 700842285 760307691 877278105 1036783215 1072228795 1267179485 1930011831 2280923073 2787794867 3216686385 3801538455 8363384601 9650059155 11404615365 13938974335 25090153803 41816923005 125450769015