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12840668932 = 2272137170979
BaseRepresentation
bin10111111010101110…
…10000111100000100
31020010212222120022211
423331113100330010
5202244202401212
65522100033204
7633126612400
oct137527207404
936125876284
1012840668932
11549a24a693
1225a4392804
131298386870
1489b532100
1550247c9a7
hex2fd5d0f04

12840668932 has 72 divisors (see below), whose sum is σ = 28547588160. Its totient is φ = 5008207680.

The previous prime is 12840668879. The next prime is 12840668933. The reversal of 12840668932 is 23986604821.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (12840668933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145419 + ... + 216397.

It is an arithmetic number, because the mean of its divisors is an integer number (396494280).

Almost surely, 212840668932 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 12840668932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273794080).

12840668932 is an abundant number, since it is smaller than the sum of its proper divisors (15706919228).

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

12840668932 is a wasteful number, since it uses less digits than its factorization.

12840668932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71081 (or 71072 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 12840668932 in words is "twelve billion, eight hundred forty million, six hundred sixty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 71 91 98 142 182 196 284 364 497 637 923 994 1274 1846 1988 2548 3479 3692 6461 6958 12922 13916 25844 45227 70979 90454 141958 180908 283916 496853 922727 993706 1845454 1987412 3477971 3690908 5039509 6459089 6955942 10079018 12918178 13911884 20158036 25836356 35276563 45213623 65513617 70553126 90427246 131027234 141106252 180854492 246935941 262054468 458595319 493871882 917190638 987743764 1834381276 3210167233 6420334466 12840668932