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130436233626336 = 25311967391276829
BaseRepresentation
bin11101101010000110001101…
…010111110000001011100000
3122002211120201101112120220020
4131222012031113300023200
5114044031401302020321
61141225324542313440
736321464315305161
oct3552061527601340
9562746641476806
10130436233626336
1138619772464360
12127674ba888880
1357a21128830c1
14242d20c631768
151012e2bea14c6
hex76a18d5f02e0

130436233626336 has 96 divisors (see below), whose sum is σ = 373526095420800. Its totient is φ = 39525691860480.

The previous prime is 130436233626323. The next prime is 130436233626403. The reversal of 130436233626336 is 633626332634031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1304362336263362 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101517970 + ... + 102794798.

It is an arithmetic number, because the mean of its divisors is an integer number (3890896827300).

Almost surely, 2130436233626336 is an apocalyptic number.

130436233626336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130436233626336 is an abundant number, since it is smaller than the sum of its proper divisors (243089861794464).

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

130436233626336 is a wasteful number, since it uses less digits than its factorization.

130436233626336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373592 (or 1373584 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 51.

The spelling of 130436233626336 in words is "one hundred thirty trillion, four hundred thirty-six billion, two hundred thirty-three million, six hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 96739 193478 290217 386956 580434 773912 1064129 1160868 1276829 1547824 2128258 2321736 2553658 3095648 3192387 3830487 4256516 4643472 5107316 6384774 7660974 8513032 9286944 10214632 12769548 14045119 15321948 17026064 20429264 25539096 28090238 30643896 34052128 40858528 42135357 51078192 56180476 61287792 84270714 102156384 112360952 122575584 168541428 224721904 337082856 449443808 674165712 1348331424 123519160631 247038321262 370557481893 494076642524 741114963786 988153285048 1358710766941 1482229927572 1976306570096 2717421533882 2964459855144 3952613140192 4076132300823 5434843067764 5928919710288 8152264601646 10869686135528 11857839420576 16304529203292 21739372271056 32609058406584 43478744542112 65218116813168 130436233626336