Search a number
-
+
118047811212 = 22331817977577
BaseRepresentation
bin110110111110000110…
…0101010011010001100
3102021200221210010221000
41231330030222122030
53413230214424322
6130121434140300
711346222560622
oct1557414523214
9367627703830
10118047811212
1146077a03861
121aa65b81690
13b193910086
1459dbd75512
15310d8d93ac
hex1b7c32a68c

118047811212 has 96 divisors (see below), whose sum is σ = 308167554240. Its totient is φ = 39077614080.

The previous prime is 118047811201. The next prime is 118047811223. The reversal of 118047811212 is 212118740811.

118047811212 is a `hidden beast` number, since 1 + 180 + 478 + 1 + 1 + 2 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (118047811201) and next prime (118047811223).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15575968 + ... + 15583544.

It is an arithmetic number, because the mean of its divisors is an integer number (3210078690).

Almost surely, 2118047811212 is an apocalyptic number.

118047811212 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 118047811212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154083777120).

118047811212 is an abundant number, since it is smaller than the sum of its proper divisors (190119743028).

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

118047811212 is a wasteful number, since it uses less digits than its factorization.

118047811212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 118047811212 in words is "one hundred eighteen billion, forty-seven million, eight hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 797 1086 1594 1629 2172 2391 3188 3258 4782 4887 6516 7173 7577 9564 9774 14346 15154 19548 21519 22731 28692 30308 43038 45462 68193 86076 90924 136386 144257 204579 272772 288514 409158 432771 577028 818316 865542 1298313 1371437 1731084 2596626 2742874 3894939 4114311 5193252 5485748 6038869 7789878 8228622 12077738 12342933 15579756 16457244 18116607 24155476 24685866 36233214 37028799 49371732 54349821 72466428 74057598 108699642 148115196 163049463 217399284 326098926 652197852 1093035289 2186070578 3279105867 4372141156 6558211734 9837317601 13116423468 19674635202 29511952803 39349270404 59023905606 118047811212