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130629247632 = 24321325367737
BaseRepresentation
bin111100110101000011…
…1000010001010010000
3110111011202222100002200
41321222013002022100
54120012041411012
6140002114043200
712303054166362
oct1715207021220
9414152870080
10130629247632
11504438941a4
1221397579500
13c41a370b00
146472ca6d32
1535e820c3dc
hex1e6a1c2290

130629247632 has 90 divisors (see below), whose sum is σ = 395865309762. Its totient is φ = 40193607168.

The previous prime is 130629247627. The next prime is 130629247643. The reversal of 130629247632 is 236742926031.

130629247632 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 2 + 9 + 2 + 4 + 7 + 632 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3497066496 + 127132181136 = 59136^2 + 356556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2659533 + ... + 2708204.

Almost surely, 2130629247632 is an apocalyptic number.

130629247632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130629247632 is an abundant number, since it is smaller than the sum of its proper divisors (265236062130).

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

130629247632 is a wasteful number, since it uses less digits than its factorization.

130629247632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367777 (or 5367755 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 130629247632 in words is "one hundred thirty billion, six hundred twenty-nine million, two hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 5367737 10735474 16103211 21470948 32206422 42941896 48309633 64412844 69780581 85883792 96619266 128825688 139561162 193238532 209341743 257651376 279122324 386477064 418683486 558244648 628025229 772954128 837366972 907147553 1116489296 1256050458 1674733944 1814295106 2512100916 2721442659 3349467888 3628590212 5024201832 5442885318 7257180424 8164327977 10048403664 10885770636 14514360848 16328655954 21771541272 32657311908 43543082544 65314623816 130629247632