Search a number
-
+
117188928156 = 223195376912611
BaseRepresentation
bin110110100100100000…
…0010010001010011100
3102012111002122100212110
41231021000102022130
53410000331200111
6125500313234020
711316023311446
oct1551100221234
9365432570773
10117188928156
1145777105253
121a866402910
13b0879b1751
145959c7d496
1530ad2d05a6
hex1b4901229c

117188928156 has 96 divisors (see below), whose sum is σ = 293667897600. Its totient is φ = 36258693120.

The previous prime is 117188928139. The next prime is 117188928191. The reversal of 117188928156 is 651829881711.

117188928156 = 164132 + 164142 + ... + 168362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 117188928096 and 117188928105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9286291 + ... + 9298901.

It is an arithmetic number, because the mean of its divisors is an integer number (3059040600).

Almost surely, 2117188928156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117188928156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146833948800).

117188928156 is an abundant number, since it is smaller than the sum of its proper divisors (176478969444).

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

117188928156 is a wasteful number, since it uses less digits than its factorization.

117188928156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13459 (or 13457 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 57.

The spelling of 117188928156 in words is "one hundred seventeen billion, one hundred eighty-eight million, nine hundred twenty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 769 1007 1538 2014 2307 3021 3076 4028 4614 6042 9228 12084 12611 14611 25222 29222 37833 40757 43833 50444 58444 75666 81514 87666 122271 151332 163028 175332 239609 244542 479218 489084 668383 718827 774383 958436 1336766 1437654 1548766 2005149 2323149 2673532 2875308 3097532 4010298 4646298 8020596 9292596 9697859 12699277 19395718 25398554 29093577 38097831 38791436 50797108 58187154 76195662 116374308 152391324 184259321 368518642 513986527 552777963 737037284 1027973054 1105555926 1541959581 2055946108 2211111852 3083919162 6167838324 9765744013 19531488026 29297232039 39062976052 58594464078 117188928156