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32061461130 = 23251996832621
BaseRepresentation
bin11101110111000000…
…110001001010001010
310001202102021222102100
4131313000301022022
51011130213224010
622421232214230
72213340631416
oct356700611212
9101672258370
1032061461130
111266294a316
12626939a376
13303c4ab49a
1417a2141d46
15c79acc2c0
hex77703128a

32061461130 has 96 divisors (see below), whose sum is σ = 83933366400. Its totient is φ = 8491063680.

The previous prime is 32061461129. The next prime is 32061461141. The reversal of 32061461130 is 3116416023.

32061461130 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 14 + 611 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32061461094 and 32061461103.

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, 12231220 + ... + 12233840.

It is an arithmetic number, because the mean of its divisors is an integer number (874305900).

Almost surely, 232061461130 is an apocalyptic number.

32061461130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32061461130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41966683200).

32061461130 is an abundant number, since it is smaller than the sum of its proper divisors (51871905270).

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

32061461130 is a wasteful number, since it uses less digits than its factorization.

32061461130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32061461130 its reverse (3116416023), we get a palindrome (35177877153).

The spelling of 32061461130 in words is "thirty-two billion, sixty-one million, four hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 683 995 1194 1366 1791 1990 2049 2621 2985 3415 3582 4098 5242 5970 6147 6830 7863 8955 10245 12294 13105 15726 17910 20490 23589 26210 30735 39315 47178 61470 78630 117945 135917 235890 271834 407751 521579 679585 815502 1043158 1223253 1359170 1564737 1790143 2038755 2446506 2607895 3129474 3580286 4077510 4694211 5215790 5370429 6116265 7823685 8950715 9388422 10740858 12232530 15647370 16111287 17901430 23471055 26852145 32222574 46942110 53704290 80556435 161112870 356238457 712476914 1068715371 1781192285 2137430742 3206146113 3562384570 5343576855 6412292226 10687153710 16030730565 32061461130