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128781260076 = 223731457108217
BaseRepresentation
bin111011111101111110…
…1100001010100101100
3110022101222122211202010
41313323331201110230
54102221000310301
6135054501201220
712206214435510
oct1677375412454
9408358584663
10128781260076
114a685733857
1220b60700210
13c1b454b651
14633969c140
15353ad755d6
hex1dfbf6152c

128781260076 has 96 divisors (see below), whose sum is σ = 355273633792. Its totient is φ = 35529477120.

The previous prime is 128781260057. The next prime is 128781260087. The reversal of 128781260076 is 670062187821.

It is a super-2 number, since 2×1287812600762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135920 + ... + 1244136.

Almost surely, 2128781260076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128781260076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177636816896).

128781260076 is an abundant number, since it is smaller than the sum of its proper divisors (226492373716).

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

128781260076 is a wasteful number, since it uses less digits than its factorization.

128781260076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108719 (or 108717 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 128781260076 in words is "one hundred twenty-eight billion, seven hundred eighty-one million, two hundred sixty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 457 651 868 914 1302 1371 1828 2604 2742 3199 5484 6398 9597 12796 14167 19194 28334 38388 42501 56668 85002 99169 108217 170004 198338 216434 297507 324651 396676 432868 595014 649302 757519 1190028 1298604 1515038 2272557 3030076 3354727 4545114 6709454 9090228 10064181 13418908 20128362 23483089 40256724 46966178 49455169 70449267 93932356 98910338 140898534 148365507 197820676 281797068 296731014 346186183 593462028 692372366 1038558549 1384744732 1533110239 2077117098 3066220478 4154234196 4599330717 6132440956 9198661434 10731771673 18397322868 21463543346 32195315019 42927086692 64390630038 128781260076