Search a number
-
+
12117066156 = 22331319454231
BaseRepresentation
bin10110100100011101…
…11100000110101100
31011021110101201221000
423102032330012230
5144303432104111
65322210440300
7606162235326
oct132216740654
934243351830
1012117066156
11515884a168
122421b93090
1311b14a2240
1482d3b2616
154adb96c56
hex2d23bc1ac

12117066156 has 96 divisors (see below), whose sum is σ = 35611788800. Its totient is φ = 3532092480.

The previous prime is 12117066133. The next prime is 12117066187. The reversal of 12117066156 is 65166071121.

It is a happy number.

12117066156 is a `hidden beast` number, since 1 + 21 + 17 + 0 + 6 + 615 + 6 = 666.

12117066156 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 self number, because there is not a number n which added to its sum of digits gives 12117066156.

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 31 ways as a sum of consecutive naturals, for example, 200440 + ... + 253791.

Almost surely, 212117066156 is an apocalyptic number.

It is an amenable number.

12117066156 is an abundant number, since it is smaller than the sum of its proper divisors (23494722644).

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

12117066156 is a wasteful number, since it uses less digits than its factorization.

12117066156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454276 (or 454268 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12117066156 in words is "twelve billion, one hundred seventeen million, sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 454231 908462 1362693 1816924 2725386 4088079 5450772 5905003 8176158 8630389 11810006 12264237 16352316 17260778 17715009 23620012 24528474 25891167 34521556 35430018 49056948 51782334 53145027 70860036 77673501 103564668 106290054 112195057 155347002 159435081 212580108 224390114 233020503 310694004 318870162 336585171 448780228 466041006 637740324 673170342 932082012 1009755513 1346340684 2019511026 3029266539 4039022052 6058533078 12117066156