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3832163136 = 26341734273
BaseRepresentation
bin1110010001101010…
…0010101101000000
3100220001220001120000
43210122202231000
530322013210021
61432132320000
7163651564164
oct34432425500
910801801500
103832163136
11169717997a
128ab473000
13490c18b69
14284d44ca4
15176670b26
hexe46a2b40

3832163136 has 140 divisors (see below), whose sum is σ = 11428069092. Its totient is φ = 1269706752.

The previous prime is 3832163131. The next prime is 3832163161. The reversal of 3832163136 is 6313612383.

3832163136 is a `hidden beast` number, since 383 + 216 + 31 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2375977536 + 1456185600 = 48744^2 + 38160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3832163136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832163131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 894696 + ... + 898968.

Almost surely, 23832163136 is an apocalyptic number.

3832163136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714034546).

3832163136 is an abundant number, since it is smaller than the sum of its proper divisors (7595905956).

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

3832163136 is a wasteful number, since it uses less digits than its factorization.

3832163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4451 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3832163136 is about 61904.4678193747. The cubic root of 3832163136 is about 1564.8810432639.

The spelling of 3832163136 in words is "three billion, eight hundred thirty-two million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 288 324 346 432 519 576 648 692 864 1038 1296 1384 1557 1728 2076 2592 2768 3114 4152 4273 4671 5184 5536 6228 8304 8546 9342 11072 12456 12819 14013 16608 17092 18684 24912 25638 28026 33216 34184 37368 38457 49824 51276 56052 68368 74736 76914 99648 102552 112104 115371 136736 149472 153828 205104 224208 230742 273472 298944 307656 346113 410208 448416 461484 615312 692226 739229 820416 896832 922968 1230624 1384452 1478458 1845936 2217687 2461248 2768904 2956916 3691872 4435374 5537808 5913832 6653061 7383744 8870748 11075616 11827664 13306122 17741496 19959183 22151232 23655328 26612244 35482992 39918366 47310656 53224488 59877549 70965984 79836732 106448976 119755098 141931968 159673464 212897952 239510196 319346928 425795904 479020392 638693856 958040784 1277387712 1916081568 3832163136