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3926290368432 = 243113225312
BaseRepresentation
bin111001001000101001001…
…001001000011110110000
3111220100102221000110012210
4321020221021020132300
51003312020313242212
612203413552452120
7553444064323065
oct71105111103660
914810387013183
103926290368432
111284148611493
12534b3684a040
1322632ac67523
14d8067b9ac6c
156c1e9d7e53c
hex392292487b0

3926290368432 has 90 divisors (see below), whose sum is σ = 10237516299556. Its totient is φ = 1296668961280.

The previous prime is 3926290368409. The next prime is 3926290368433. The reversal of 3926290368432 is 2348630926293.

It is not an unprimeable number, because it can be changed into a prime (3926290368433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1551279007 + ... + 1551281537.

Almost surely, 23926290368432 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 3926290368432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118758149778).

3926290368432 is an abundant number, since it is smaller than the sum of its proper divisors (6311225931124).

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

3926290368432 is an frugal number, since it uses more digits than its factorization.

3926290368432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 57.

The spelling of 3926290368432 in words is "three trillion, nine hundred twenty-six billion, two hundred ninety million, three hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2531 2712 5062 5424 7593 10124 12769 15186 20248 25538 30372 38307 40496 51076 60744 76614 102152 121488 153228 204304 286003 306456 572006 612912 858009 1144012 1716018 2288024 3432036 4576048 6405961 6864072 12811922 13728144 19217883 25623844 32318339 38435766 51247688 64636678 76871532 96955017 102495376 129273356 153743064 193910034 258546712 307486128 387820068 517093424 723873593 775640136 1447747186 1551280272 2171620779 2895494372 4343241558 5790988744 8686483116 11581977488 17372966232 34745932464 81797716009 163595432018 245393148027 327190864036 490786296054 654381728072 981572592108 1308763456144 1963145184216 3926290368432