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12940974684 = 22321123079677
BaseRepresentation
bin11000000110101011…
…11001101001011100
31020101212201121221200
430003111321221130
5203000342142214
65540041555500
7635455320111
oct140325715134
936355647850
1012940974684
11554092a900
122611aa5b90
1312b30a6591
148aa9a2908
1550b192d09
hex303579a5c

12940974684 has 108 divisors (see below), whose sum is σ = 36076912872. Its totient is φ = 3908329920.

The previous prime is 12940974667. The next prime is 12940974691. The reversal of 12940974684 is 48647904921.

12940974684 is a `hidden beast` number, since 1 + 2 + 94 + 0 + 97 + 468 + 4 = 666.

12940974684 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 12940974684.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1332454 + ... + 1342130.

Almost surely, 212940974684 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 12940974684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038456436).

12940974684 is an abundant number, since it is smaller than the sum of its proper divisors (23135938188).

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

12940974684 is a wasteful number, since it uses less digits than its factorization.

12940974684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016 (or 10000 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12940974684 in words is "twelve billion, nine hundred forty million, nine hundred seventy-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 307 363 396 484 614 726 921 1089 1228 1452 1842 2178 2763 3377 3684 4356 5526 6754 9677 10131 11052 13508 19354 20262 29031 30393 37147 38708 40524 58062 60786 74294 87093 106447 111441 116124 121572 148588 174186 212894 222882 319341 334323 348372 425788 445764 638682 668646 958023 1170917 1277364 1337292 1916046 2341834 2970839 3512751 3832092 4683668 5941678 7025502 8912517 10538253 11883356 14051004 17825034 21076506 26737551 32679229 35650068 42153012 53475102 65358458 98037687 106950204 130716916 196075374 294113061 359471519 392150748 588226122 718943038 1078414557 1176452244 1437886076 2156829114 3235243671 4313658228 6470487342 12940974684