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11638232070 = 2351922346723
BaseRepresentation
bin10101101011011000…
…10101010000000110
31010001002101110001020
422311230111100012
5142313341411240
65202503412010
7561256224513
oct126554252006
933032343036
1011638232070
114a3252a013
122309754006
13113621b16a
147c596a30a
15481b100d0
hex2b5b15406

11638232070 has 96 divisors (see below), whose sum is σ = 30761586432. Its totient is φ = 2812290624.

The previous prime is 11638232059. The next prime is 11638232083. The reversal of 11638232070 is 7023283611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225729 + ... + 272451.

It is an arithmetic number, because the mean of its divisors is an integer number (320433192).

Almost surely, 211638232070 is an apocalyptic number.

11638232070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11638232070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15380793216).

11638232070 is an abundant number, since it is smaller than the sum of its proper divisors (19123354362).

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

11638232070 is a wasteful number, since it uses less digits than its factorization.

11638232070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46794 (or 46775 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11638232070 in words is "eleven billion, six hundred thirty-eight million, two hundred thirty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 361 437 570 690 722 874 1083 1311 1805 2166 2185 2622 3610 4370 5415 6555 8303 10830 13110 16606 24909 41515 46723 49818 83030 93446 124545 140169 233615 249090 280338 467230 700845 887737 1074629 1401690 1775474 2149258 2663211 3223887 4438685 5326422 5373145 6447774 8877370 10746290 13316055 16119435 16867003 20417951 26632110 32238870 33734006 40835902 50601009 61253853 84335015 101202018 102089755 122507706 168670030 204179510 253005045 306269265 387941069 506010090 612538530 775882138 1163823207 1939705345 2327646414 3879410690 5819116035 11638232070