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3005806866876 = 22321115748346633
BaseRepresentation
bin101011101111011000000…
…011001111000110111100
3101122100111211220200021200
4223233120003033012330
5343221343024220001
610220503144455500
7430106460545112
oct53573003170674
911570454820250
103005806866876
11a59834684810
1240666677a590
1318a5a58a70c8
14a56a61cdab2
15532c442c086
hex2bbd80cf1bc

3005806866876 has 72 divisors (see below), whose sum is σ = 8341534843824. Its totient is φ = 905048951040.

The previous prime is 3005806866779. The next prime is 3005806866899. The reversal of 3005806866876 is 6786686085003.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24111145 + ... + 24235488.

Almost surely, 23005806866876 is an apocalyptic number.

3005806866876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3005806866876 is an abundant number, since it is smaller than the sum of its proper divisors (5335727976948).

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

3005806866876 is a wasteful number, since it uses less digits than its factorization.

3005806866876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48346811 (or 48346806 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3005806866876 in words is "three trillion, five billion, eight hundred six million, eight hundred sixty-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 942 1413 1727 1884 2826 3454 5181 5652 6908 10362 15543 20724 31086 62172 48346633 96693266 145039899 193386532 290079798 435119697 531812963 580159596 870239394 1063625926 1595438889 1740478788 2127251852 3190877778 4786316667 6381755556 7590421381 9572633334 15180842762 19145266668 22771264143 30361685524 45542528286 68313792429 83494635191 91085056572 136627584858 166989270382 250483905573 273255169716 333978540764 500967811146 751451716719 1001935622292 1502903433438 3005806866876