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128630654682336 = 25365514002687
BaseRepresentation
bin11101001111110100101000…
…011110101100010011100000
3121212102222012111012201000000
4131033310220132230103200
5113324441040044313321
61133324035035300000
736044154351435222
oct3517645036542340
9555388174181000
10128630654682336
1137a92a551a0554
1212515595baa600
1356a0a84876701
1423a9a84d3a412
15ed0ea2782826
hex74fd287ac4e0

128630654682336 has 84 divisors (see below), whose sum is σ = 379688711092992. Its totient is φ = 42876884886336.

The previous prime is 128630654682319. The next prime is 128630654682377. The reversal of 128630654682336 is 633286456036821.

128630654682336 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 0 + 6 + 546 + 82 + 3 + 3 + 6 = 666.

128630654682336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1286306546823363 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2756978016 + ... + 2757024671.

It is an arithmetic number, because the mean of its divisors is an integer number (4520103703488).

Almost surely, 2128630654682336 is an apocalyptic number.

128630654682336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128630654682336 is an abundant number, since it is smaller than the sum of its proper divisors (251058056410656).

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

128630654682336 is an frugal number, since it uses more digits than its factorization.

128630654682336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514002715 (or 5514002692 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 128630654682336 in words is "one hundred twenty-eight trillion, six hundred thirty billion, six hundred fifty-four million, six hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 5514002687 11028005374 16542008061 22056010748 33084016122 44112021496 49626024183 66168032244 88224042992 99252048366 132336064488 148878072549 176448085984 198504096732 264672128976 297756145098 397008193464 446634217647 529344257952 595512290196 794016386928 893268435294 1191024580392 1339902652941 1588032773856 1786536870588 2382049160784 2679805305882 3573073741176 4019707958823 4764098321568 5359610611764 7146147482352 8039415917646 10719221223528 14292294964704 16078831835292 21438442447056 32157663670584 42876884894112 64315327341168 128630654682336