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12375664098 = 2371921276427
BaseRepresentation
bin10111000011010010…
…11010010111100010
31011221110222212121120
423201221122113202
5200321132222343
65404005233110
7615452260230
oct134151322742
934843885546
1012375664098
115280815676
122494702796
131222c35285
14855889950
154c6728683
hex2e1a5a5e2

12375664098 has 96 divisors (see below), whose sum is σ = 30094147584. Its totient is φ = 3322910304.

The previous prime is 12375664051. The next prime is 12375664111. The reversal of 12375664098 is 89046657321.

12375664098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12375664098.

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 47 ways as a sum of consecutive naturals, for example, 1922361 + ... + 1928787.

It is an arithmetic number, because the mean of its divisors is an integer number (313480704).

It is a 1-persistent number, because it is pandigital, but 2⋅12375664098 = 24751328196 is not.

Almost surely, 212375664098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12375664098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047073792).

12375664098 is an abundant number, since it is smaller than the sum of its proper divisors (17718483486).

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

12375664098 is a wasteful number, since it uses less digits than its factorization.

12375664098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 12375664098 in words is "twelve billion, three hundred seventy-five million, six hundred sixty-four thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 127 133 254 266 361 381 399 722 762 798 889 1083 1778 2166 2413 2527 2667 4826 5054 5334 6427 7239 7581 12854 14478 15162 16891 19281 33782 38562 44989 45847 50673 89978 91694 101346 122113 134967 137541 244226 269934 275082 320929 366339 641858 732678 816229 854791 962787 1632458 1709582 1925574 2320147 2448687 2564373 4640294 4897374 5128746 5713603 6960441 11427206 13920882 15508351 16241029 17140809 31016702 32482058 34281618 46525053 48723087 93050106 97446174 108558457 217116914 294658669 325675371 589317338 651350742 883976007 1767952014 2062610683 4125221366 6187832049 12375664098