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130571106432 = 27313101258971
BaseRepresentation
bin111100110011010100…
…1001111100010000000
3110111000201120110100220
41321212221033202000
54114402200401212
6135552235543040
712301450043454
oct1714651174200
9414021513326
10130571106432
1150413a92918
122137bbbaa80
13c40b2c4c30
146469290664
1535e307538c
hex1e66a4f880

130571106432 has 128 divisors (see below), whose sum is σ = 377208256320. Its totient is φ = 39777792000.

The previous prime is 130571106397. The next prime is 130571106461. The reversal of 130571106432 is 234601175031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 130571106393 and 130571106402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374707 + ... + 633677.

Almost surely, 2130571106432 is an apocalyptic number.

130571106432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130571106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188604128160).

130571106432 is an abundant number, since it is smaller than the sum of its proper divisors (246637149888).

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

130571106432 is a wasteful number, since it uses less digits than its factorization.

130571106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259102 (or 259090 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 130571106432 in words is "one hundred thirty billion, five hundred seventy-one million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 303 312 384 404 416 606 624 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3939 4848 4992 5252 6464 7878 9696 10504 12928 15756 19392 21008 31512 38784 42016 63024 84032 126048 168064 252096 258971 504192 517942 776913 1035884 1553826 2071768 3107652 3366623 4143536 6215304 6733246 8287072 10099869 12430608 13466492 16574144 20199738 24861216 26156071 26932984 33148288 40399476 49722432 52312142 53865968 78468213 80798952 99444864 104624284 107731936 156936426 161597904 209248568 215463872 313872852 323195808 340028923 418497136 430927744 627745704 646391616 680057846 836994272 1020086769 1255491408 1292783232 1360115692 1673988544 2040173538 2510982816 2720231384 3347977088 4080347076 5021965632 5440462768 8160694152 10043931264 10880925536 16321388304 21761851072 32642776608 43523702144 65285553216 130571106432