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2129257887768 = 2332113377977617
BaseRepresentation
bin11110111111000001101…
…010001111100000011000
321112112222122100212222200
4132333001222033200120
5234341210004402033
64310100110050200
7306555665264634
oct36770152174030
97475878325880
102129257887768
11751016628020
122a47b81a9960
13125a3277372b
14750b157bdc4
153a5c0b01013
hex1efc1a8f818

2129257887768 has 96 divisors (see below), whose sum is σ = 6309657628560. Its totient is φ = 643314954240.

The previous prime is 2129257887739. The next prime is 2129257887821. The reversal of 2129257887768 is 8677887529212.

2129257887768 is a `hidden beast` number, since 21 + 29 + 2 + 578 + 8 + 7 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2129257887696 and 2129257887705.

It is a congruent number.

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, 3721905 + ... + 4255712.

Almost surely, 22129257887768 is an apocalyptic number.

It is an amenable number.

2129257887768 is an abundant number, since it is smaller than the sum of its proper divisors (4180399740792).

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

2129257887768 is a wasteful number, since it uses less digits than its factorization.

2129257887768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977977 (or 7977970 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

The spelling of 2129257887768 in words is "two trillion, one hundred twenty-nine billion, two hundred fifty-seven million, eight hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 337 396 674 792 1011 1348 2022 2696 3033 3707 4044 6066 7414 8088 11121 12132 14828 22242 24264 29656 33363 44484 66726 88968 133452 266904 7977617 15955234 23932851 31910468 47865702 63820936 71798553 87753787 95731404 143597106 175507574 191462808 263261361 287194212 351015148 526522722 574388424 702030296 789784083 1053045444 1579568166 2106090888 2688456929 3159136332 5376913858 6318272664 8065370787 10753827716 16130741574 21507655432 24196112361 29573026219 32261483148 48392224722 59146052438 64522966296 88719078657 96784449444 118292104876 177438157314 193568898888 236584209752 266157235971 354876314628 532314471942 709752629256 1064628943884 2129257887768