Search a number
-
+
3992865882432 = 26372970882353
BaseRepresentation
bin111010000110101001010…
…110100100000101000000
3112010201021200120222102120
4322012221112210011000
51010404342131214212
612254144113044240
7561321640003410
oct72065126440500
915121250528376
103992865882432
1112aa401773539
12545a16856680
1322c6aaa94aab
14db381a70640
156dce49ec88c
hex3a1a95a4140

3992865882432 has 56 divisors (see below), whose sum is σ = 12073665886656. Its totient is φ = 1140818823168.

The previous prime is 3992865882427. The next prime is 3992865882433. The reversal of 3992865882432 is 2342885682993.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992865882433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485439833 + ... + 1485442520.

Almost surely, 23992865882432 is an apocalyptic number.

3992865882432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3992865882432 is an abundant number, since it is smaller than the sum of its proper divisors (8080800004224).

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

3992865882432 is a wasteful number, since it uses less digits than its factorization.

3992865882432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970882375 (or 2970882365 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 3992865882432 in words is "three trillion, nine hundred ninety-two billion, eight hundred sixty-five million, eight hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2970882353 5941764706 8912647059 11883529412 17825294118 20796176471 23767058824 35650588236 41592352942 47534117648 62388529413 71301176472 83184705884 95068235296 124777058826 142602352944 166369411768 190136470592 249554117652 285204705888 332738823536 499108235304 570409411776 665477647072 998216470608 1330955294144 1996432941216 3992865882432