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12694977018 = 2331747594987
BaseRepresentation
bin10111101001010110…
…11111100111111010
31012202201211122121000
423310223133213322
5201444403231033
65455413225430
7626410344543
oct136453374772
935681748530
1012694977018
115424a90149
122563632276
131274135829
148860494ca
154e479ea13
hex2f4adf9fa

12694977018 has 128 divisors (see below), whose sum is σ = 31029350400. Its totient is φ = 3831162624.

The previous prime is 12694977017. The next prime is 12694977047. The reversal of 12694977018 is 81077949621.

12694977018 is a `hidden beast` number, since 12 + 69 + 497 + 70 + 18 = 666.

It is a super-2 number, since 2×126949770182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12694977017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2543121 + ... + 2548107.

It is an arithmetic number, because the mean of its divisors is an integer number (242416800).

Almost surely, 212694977018 is an apocalyptic number.

12694977018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12694977018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514675200).

12694977018 is an abundant number, since it is smaller than the sum of its proper divisors (18334373382).

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

12694977018 is a wasteful number, since it uses less digits than its factorization.

12694977018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12694977018 in words is "twelve billion, six hundred ninety-four million, nine hundred seventy-seven thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 59 94 102 118 141 153 177 282 306 354 423 459 531 799 846 918 1003 1062 1269 1593 1598 2006 2397 2538 2773 3009 3186 4794 4987 5546 6018 7191 8319 9027 9974 14382 14961 16638 18054 21573 24957 27081 29922 43146 44883 47141 49914 54162 74871 84779 89766 94282 134649 141423 149742 169558 234389 254337 269298 282846 294233 424269 468778 508674 588466 703167 763011 848538 882699 1272807 1406334 1526022 1765398 2109501 2289033 2545614 2648097 3984613 4219002 4578066 5001961 5296194 6328503 7944291 7969226 10003922 11953839 12657006 13828951 15005883 15888582 23907678 27657902 30011766 35861517 41486853 45017649 71723034 82973706 90035298 107584551 124460559 135052947 215169102 235092167 248921118 270105894 373381677 470184334 705276501 746763354 1410553002 2115829503 4231659006 6347488509 12694977018