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12138039504 = 2432234189387
BaseRepresentation
bin10110100110111101…
…11100100011010000
31011022220212021221200
423103132330203100
5144324314231004
65324240151200
7606535430163
oct132336744320
934286767850
1012138039504
115169674808
122429008500
1311b59366c6
148320b1ada
154b093b239
hex2d37bc8d0

12138039504 has 120 divisors (see below), whose sum is σ = 36311550912. Its totient is φ = 3775664640.

The previous prime is 12138039503. The next prime is 12138039521. The reversal of 12138039504 is 40593083121.

12138039504 is a `hidden beast` number, since 12 + 138 + 0 + 3 + 9 + 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 (12138039503) 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, 91099 + ... + 180485.

Almost surely, 212138039504 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 12138039504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155775456).

12138039504 is an abundant number, since it is smaller than the sum of its proper divisors (24173511408).

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

12138039504 is a wasteful number, since it uses less digits than its factorization.

12138039504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89465 (or 89456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12138039504 in words is "twelve billion, one hundred thirty-eight million, thirty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 328 368 369 414 492 552 656 738 828 943 984 1104 1476 1656 1886 1968 2829 2952 3312 3772 5658 5904 7544 8487 11316 15088 16974 22632 33948 45264 67896 89387 135792 178774 268161 357548 536322 715096 804483 1072644 1430192 1608966 2055901 2145288 3217932 3664867 4111802 4290576 6167703 6435864 7329734 8223604 10994601 12335406 12871728 14659468 16447208 18503109 21989202 24670812 29318936 32894416 32983803 37006218 43978404 49341624 58637872 65967606 74012436 84291941 87956808 98683248 131935212 148024872 168583882 175913616 252875823 263870424 296049744 337167764 505751646 527740848 674335528 758627469 1011503292 1348671056 1517254938 2023006584 3034509876 4046013168 6069019752 12138039504