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12690733384 = 2371929596971
BaseRepresentation
bin10111101000110110…
…10011100101001000
31012202102212001102101
423310123103211020
5201442311432014
65455142243144
7626326311460
oct136433234510
935672761371
1012690733384
11542265190a
1225621264b4
1312732ab0c4
14885662ba0
154e4212474
hex2f46d3948

12690733384 has 128 divisors (see below), whose sum is σ = 30119040000. Its totient is φ = 4889928960.

The previous prime is 12690733381. The next prime is 12690733387. The reversal of 12690733384 is 48333709621.

12690733384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12690733381) and next prime (12690733387).

It is a super-2 number, since 2×126907333842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12690733381) 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 31 ways as a sum of consecutive naturals, for example, 1817019 + ... + 1823989.

It is an arithmetic number, because the mean of its divisors is an integer number (235305000).

Almost surely, 212690733384 is an apocalyptic number.

12690733384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12690733384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059520000).

12690733384 is an abundant number, since it is smaller than the sum of its proper divisors (17428306616).

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

12690733384 is a wasteful number, since it uses less digits than its factorization.

12690733384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 12690733384 in words is "twelve billion, six hundred ninety million, seven hundred thirty-three thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 59 76 116 118 133 152 203 232 236 266 406 413 472 532 551 812 826 1064 1102 1121 1624 1652 1711 2204 2242 3304 3422 3857 4408 4484 6844 6971 7714 7847 8968 11977 13688 13942 15428 15694 23954 27884 30856 31388 32509 47908 48797 55768 62776 65018 95816 97594 130036 132449 195188 202159 227563 260072 264898 390376 404318 411289 455126 529796 808636 822578 910252 927143 1059592 1415113 1617272 1645156 1820504 1854286 2830226 2879023 3290312 3708572 3841021 5660452 5758046 7417144 7682042 7814491 11320904 11516092 11927381 15364084 15628982 23032184 23854762 26887147 30728168 31257964 47709524 53774294 54701437 62515928 83491667 95419048 107548588 109402874 166983334 215097176 218805748 226620239 333966668 437611496 453240478 667933336 906480956 1586341673 1812961912 3172683346 6345366692 12690733384