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128509765108872 = 23372532061830399
BaseRepresentation
bin11101001110000100000010…
…111001100100010010001000
3121212000102011111011002010020
4131032010002321210102020
5113321000444331440442
61133152323204220440
736032344531141200
oct3516040271442210
9555012144132106
10128509765108872
1137a4675a185754
12124b607839a720
13569255a2a6714
1423a3c977cd400
15eccc7965e9ec
hex74e102e64488

128509765108872 has 96 divisors (see below), whose sum is σ = 380778838272000. Its totient is φ = 36024300713856.

The previous prime is 128509765108831. The next prime is 128509765108883. The reversal of 128509765108872 is 278801567905821.

It is a super-2 number, since 2×1285097651088722 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128509765108797 and 128509765108806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030852872 + ... + 1030977527.

It is an arithmetic number, because the mean of its divisors is an integer number (3966446232000).

Almost surely, 2128509765108872 is an apocalyptic number.

128509765108872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128509765108872 is an abundant number, since it is smaller than the sum of its proper divisors (252269073163128).

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

128509765108872 is a wasteful number, since it uses less digits than its factorization.

128509765108872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061830475 (or 2061830464 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 69.

The spelling of 128509765108872 in words is "one hundred twenty-eight trillion, five hundred nine billion, seven hundred sixty-five million, one hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 371 392 424 588 636 742 1113 1176 1272 1484 2226 2597 2968 4452 5194 7791 8904 10388 15582 20776 31164 62328 2061830399 4123660798 6185491197 8247321596 12370982394 14432812793 16494643192 24741964788 28865625586 43298438379 49483929576 57731251172 86596876758 101029689551 109277011147 115462502344 173193753516 202059379102 218554022294 303089068653 327831033441 346387507032 404118758204 437108044588 606178137306 655662066882 764939078029 808237516408 874216089176 1212356274612 1311324133764 1529878156058 2294817234087 2424712549224 2622648267528 3059756312116 4589634468174 5354573546203 6119512624232 9179268936348 10709147092406 16063720638609 18358537872696 21418294184812 32127441277218 42836588369624 64254882554436 128509765108872