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12367720152 = 23327323310099
BaseRepresentation
bin10111000010010110…
…00110111011011000
31011220221001021120100
423201023012323120
5200312114021102
65403123055400
7615324613104
oct134113067330
934827037510
1012367720152
11527728a227
122491b11560
1312213b3508
148547bc904
154c5ba9a1c
hex2e12c6ed8

12367720152 has 96 divisors (see below), whose sum is σ = 34103862000. Its totient is φ = 4048247808.

The previous prime is 12367720139. The next prime is 12367720187. The reversal of 12367720152 is 25102776321.

12367720152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1219599 + ... + 1229697.

Almost surely, 212367720152 is an apocalyptic number.

12367720152 is a gapful number since it is divisible by the number (12) 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 12367720152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051931000).

12367720152 is an abundant number, since it is smaller than the sum of its proper divisors (21736141848).

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

12367720152 is a wasteful number, since it uses less digits than its factorization.

12367720152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12367720152 in words is "twelve billion, three hundred sixty-seven million, seven hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 233 292 438 466 584 657 699 876 932 1314 1398 1752 1864 2097 2628 2796 4194 5256 5592 8388 10099 16776 17009 20198 30297 34018 40396 51027 60594 68036 80792 90891 102054 121188 136072 153081 181782 204108 242376 306162 363564 408216 612324 727128 737227 1224648 1474454 2211681 2353067 2948908 4423362 4706134 5897816 6635043 7059201 8846724 9412268 13270086 14118402 17693448 18824536 21177603 26540172 28236804 42355206 53080344 56473608 84710412 169420824 171773891 343547782 515321673 687095564 1030643346 1374191128 1545965019 2061286692 3091930038 4122573384 6183860076 12367720152