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12117367530 = 235525719403
BaseRepresentation
bin10110100100100000…
…00101101011101010
31011021110222001100000
423102100011223222
5144304021230110
65322221123430
7606164632062
oct132220055352
934243861300
1012117367530
115158a35634
1224220b9576
1311b1579478
1482d4503a2
154adc061c0
hex2d2405aea

12117367530 has 96 divisors (see below), whose sum is σ = 32800832064. Its totient is φ = 3218558976.

The previous prime is 12117367501. The next prime is 12117367547. The reversal of 12117367530 is 3576371121.

12117367530 is a `hidden beast` number, since 1 + 2 + 117 + 3 + 6 + 7 + 530 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614809 + ... + 634211.

It is an arithmetic number, because the mean of its divisors is an integer number (341675334).

Almost surely, 212117367530 is an apocalyptic number.

12117367530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12117367530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400416032).

12117367530 is an abundant number, since it is smaller than the sum of its proper divisors (20683464534).

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

12117367530 is a wasteful number, since it uses less digits than its factorization.

12117367530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19682 (or 19670 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 12117367530 in words is "twelve billion, one hundred seventeen million, three hundred sixty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 257 270 405 486 514 771 810 1215 1285 1542 2313 2430 2570 3855 4626 6939 7710 11565 13878 19403 20817 23130 34695 38806 41634 58209 62451 69390 97015 104085 116418 124902 174627 194030 208170 291045 312255 349254 523881 582090 624510 873135 1047762 1571643 1746270 2619405 3143286 4714929 4986571 5238810 7858215 9429858 9973142 14959713 15716430 23574645 24932855 29919426 44879139 47149290 49865710 74798565 89758278 134637417 149597130 224395695 269274834 403912251 448791390 673187085 807824502 1211736753 1346374170 2019561255 2423473506 4039122510 6058683765 12117367530