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12318715542 = 2372176736787
BaseRepresentation
bin10110111100100000…
…01010111010010110
31011210111211120212210
423132100022322112
5200212042344132
65354212454250
7614161232400
oct133620127226
934714746783
1012318715542
115251659351
12247961a386
1312141b61c3
1484c0a3b70
154c1729bcc
hex2de40ae96

12318715542 has 96 divisors (see below), whose sum is σ = 30799502208. Its totient is φ = 3263065344.

The previous prime is 12318715523. The next prime is 12318715543. The reversal of 12318715542 is 24551781321.

12318715542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12318715542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318715543) 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 47 ways as a sum of consecutive naturals, for example, 316473 + ... + 353259.

It is an arithmetic number, because the mean of its divisors is an integer number (320828148).

Almost surely, 212318715542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318715542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399751104).

12318715542 is an abundant number, since it is smaller than the sum of its proper divisors (18480786666).

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

12318715542 is a wasteful number, since it uses less digits than its factorization.

12318715542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36890 (or 36883 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The spelling of 12318715542 in words is "twelve billion, three hundred eighteen million, seven hundred fifteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 67 98 102 119 134 147 201 238 294 357 402 469 714 833 938 1139 1407 1666 2278 2499 2814 3283 3417 4998 6566 6834 7973 9849 15946 19698 23919 36787 47838 55811 73574 110361 111622 167433 220722 257509 334866 515018 625379 772527 1250758 1545054 1802563 1876137 2464729 3605126 3752274 4377653 4929458 5407689 7394187 8755306 10815378 13132959 14788374 17253103 26265918 30643571 34506206 41900393 51759309 61287142 83800786 91930713 103518618 120771721 125701179 183861426 241543442 251402358 293302751 362315163 586605502 724630326 879908253 1759816506 2053119257 4106238514 6159357771 12318715542