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12156793290 = 23252310158147
BaseRepresentation
bin10110101001001100…
…11111000111001010
31011101020011002022100
423110212133013022
5144344114341130
65330150134230
7610154016015
oct132446370712
934336132270
1012156793290
115179213804
122433351376
1311b97a1815
1483479437c
154b23e2c60
hex2d499f1ca

12156793290 has 96 divisors (see below), whose sum is σ = 33309035136. Its totient is φ = 3070108800.

The previous prime is 12156793277. The next prime is 12156793291. The reversal of 12156793290 is 9239765121.

It is a happy number.

12156793290 is a `hidden beast` number, since 1 + 215 + 67 + 93 + 290 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12156793291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179997 + ... + 238143.

It is an arithmetic number, because the mean of its divisors is an integer number (346969116).

Almost surely, 212156793290 is an apocalyptic number.

12156793290 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 12156793290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654517568).

12156793290 is an abundant number, since it is smaller than the sum of its proper divisors (21152241846).

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

12156793290 is a wasteful number, since it uses less digits than its factorization.

12156793290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58284 (or 58281 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12156793290 in words is "twelve billion, one hundred fifty-six million, seven hundred ninety-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 101 115 138 202 207 230 303 345 414 505 606 690 909 1010 1035 1515 1818 2070 2323 3030 4545 4646 6969 9090 11615 13938 20907 23230 34845 41814 58147 69690 104535 116294 174441 209070 290735 348882 523323 581470 872205 1046646 1337381 1744410 2616615 2674762 4012143 5233230 5872847 6686905 8024286 11745694 12036429 13373810 17618541 20060715 24072858 29364235 35237082 40121430 52855623 58728470 60182145 88092705 105711246 120364290 135075481 176185410 264278115 270150962 405226443 528556230 675377405 810452886 1215679329 1350754810 2026132215 2431358658 4052264430 6078396645 12156793290