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130537263654 = 23277913795723
BaseRepresentation
bin111100110010010100…
…0001001001000100110
3110110221100220001210200
41321210220021020212
54114320014414104
6135545030331330
712300556301460
oct1714450111046
9413840801720
10130537263654
11503a6978286
12213707b9b46
13c4042a5b15
1464649a1130
1535e00dcb39
hex1e64a09226

130537263654 has 96 divisors (see below), whose sum is σ = 329719403520. Its totient is φ = 36555083136.

The previous prime is 130537263641. The next prime is 130537263671. The reversal of 130537263654 is 456362735031.

It is a happy number.

130537263654 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 7 + 2 + 636 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315837 + ... + 1411559.

It is an arithmetic number, because the mean of its divisors is an integer number (3434577120).

Almost surely, 2130537263654 is an apocalyptic number.

130537263654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130537263654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164859701760).

130537263654 is an abundant number, since it is smaller than the sum of its proper divisors (199182139866).

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

130537263654 is a wasteful number, since it uses less digits than its factorization.

130537263654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95954 (or 95951 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 130537263654 its reverse (456362735031), we get a palindrome (586899998685).

The spelling of 130537263654 in words is "one hundred thirty billion, five hundred thirty-seven million, two hundred sixty-three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 137 158 237 274 411 474 553 711 822 959 1106 1233 1422 1659 1918 2466 2877 3318 4977 5754 8631 9954 10823 17262 21646 32469 64938 75761 95723 97407 151522 191446 194814 227283 287169 454566 574338 670061 681849 861507 1340122 1363698 1723014 2010183 4020366 6030549 7562117 12061098 13114051 15124234 22686351 26228102 39342153 45372702 52934819 68059053 78684306 91798357 105869638 118026459 136118106 158804457 183596714 236052918 275395071 317608914 476413371 550790142 826185213 952826742 1036010029 1652370426 2072020058 3108030087 6216060174 7252070203 9324090261 14504140406 18648180522 21756210609 43512421218 65268631827 130537263654