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12138660504 = 23322350914401
BaseRepresentation
bin10110100111000010…
…10100001010011000
31011022222000211210200
423103201110022120
5144324444114004
65324301342200
7606543624525
oct132341241230
934288024720
1012138660504
115169a59333
122429267960
1311b5ac3269
148321d414c
154b0a10239
hex2d3854298

12138660504 has 96 divisors (see below), whose sum is σ = 34374693600. Its totient is φ = 3862425600.

The previous prime is 12138660497. The next prime is 12138660509. The reversal of 12138660504 is 40506683121.

It is a happy number.

12138660504 is a `hidden beast` number, since 1 + 2 + 13 + 86 + 60 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12138660509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835704 + ... + 850104.

It is an arithmetic number, because the mean of its divisors is an integer number (358069725).

Almost surely, 212138660504 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 12138660504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187346800).

12138660504 is an abundant number, since it is smaller than the sum of its proper divisors (22236033096).

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

12138660504 is a wasteful number, since it uses less digits than its factorization.

12138660504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14945 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12138660504 in words is "twelve billion, one hundred thirty-eight million, six hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 509 552 828 1018 1527 1656 2036 3054 4072 4581 6108 9162 11707 12216 14401 18324 23414 28802 35121 36648 43203 46828 57604 70242 86406 93656 105363 115208 129609 140484 172812 210726 259218 280968 331223 345624 421452 518436 662446 842904 993669 1036872 1324892 1987338 2649784 2981007 3974676 5962014 7330109 7949352 11924028 14660218 21990327 23848056 29320436 43980654 58640872 65970981 87961308 131941962 168592507 175922616 263883924 337185014 505777521 527767848 674370028 1011555042 1348740056 1517332563 2023110084 3034665126 4046220168 6069330252 12138660504