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2663886336 = 29319372467
BaseRepresentation
bin1001111011000111…
…1010111000000000
320212122120110001220
42132301322320000
520423423330321
61120200155040
7123004442316
oct23661727000
96778513056
102663886336
111147770261
12624168a80
13335b80b07
141b3b120b6
15108cee9c6
hex9ec7ae00

2663886336 has 160 divisors (see below), whose sum is σ = 7675282560. Its totient is φ = 818159616.

The previous prime is 2663886331. The next prime is 2663886367. The reversal of 2663886336 is 6336883662.

It is a super-2 number, since 2×26638863362 = 14192580822255009792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663886331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078575 + ... + 1081041.

It is an arithmetic number, because the mean of its divisors is an integer number (47970516).

Almost surely, 22663886336 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 2663886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837641280).

2663886336 is an abundant number, since it is smaller than the sum of its proper divisors (5011396224).

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

2663886336 is a wasteful number, since it uses less digits than its factorization.

2663886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2528 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The square root of 2663886336 is about 51612.8504928763. The cubic root of 2663886336 is about 1386.2404377054.

The spelling of 2663886336 in words is "two billion, six hundred sixty-three million, eight hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 256 296 304 384 444 456 512 592 608 703 768 888 912 1184 1216 1406 1536 1776 1824 2109 2368 2432 2467 2812 3552 3648 4218 4736 4864 4934 5624 7104 7296 7401 8436 9472 9728 9868 11248 14208 14592 14802 16872 18944 19736 22496 28416 29184 29604 33744 39472 44992 46873 56832 59208 67488 78944 89984 91279 93746 118416 134976 140619 157888 179968 182558 187492 236832 269952 273837 281238 315776 359936 365116 374984 473664 539904 547674 562476 631552 730232 749968 947328 1079808 1095348 1124952 1263104 1460464 1499936 1734301 1894656 2190696 2249904 2920928 2999872 3468602 3789312 4381392 4499808 5202903 5841856 5999744 6937204 8762784 8999616 10405806 11683712 11999488 13874408 17525568 17999232 20811612 23367424 23998976 27748816 35051136 35998464 41623224 46734848 55497632 70102272 71996928 83246448 110995264 140204544 166492896 221990528 332985792 443981056 665971584 887962112 1331943168 2663886336