Search a number
-
+
188065308676 = 227229212915541
BaseRepresentation
bin1010111100100110010…
…0001110000000000100
3122222102121001112210211
42233021210032000010
511040124204334201
6222221312125204
716405301514400
oct2571144160004
9588377045724
10188065308676
1172837a66a43
1230546836804
1314971872a4b
149161024100
154d5a804651
hex2bc990e004

188065308676 has 72 divisors (see below), whose sum is σ = 396260386200. Its totient is φ = 77778570240.

The previous prime is 188065308619. The next prime is 188065308677. The reversal of 188065308676 is 676803560881.

It can be written as a sum of positive squares in 4 ways, for example, as 32032408576 + 156032900100 = 178976^2 + 395010^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 188065308676.

It is not an unprimeable number, because it can be changed into a prime (188065308677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12093466 + ... + 12109006.

It is an arithmetic number, because the mean of its divisors is an integer number (5503616475).

Almost surely, 2188065308676 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 188065308676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198130193100).

188065308676 is an abundant number, since it is smaller than the sum of its proper divisors (208195077524).

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

188065308676 is a wasteful number, since it uses less digits than its factorization.

188065308676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717 (or 17708 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 188065308676 in words is "one hundred eighty-eight billion, sixty-five million, three hundred eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2129 2842 4258 5684 8516 14903 15541 29806 31082 59612 61741 62164 104321 108787 123482 208642 217574 246964 417284 432187 435148 450689 761509 864374 901378 1523018 1728748 1802756 3025309 3046036 3154823 6050618 6309646 12101236 12619292 22083761 33086789 44167522 66173578 88335044 132347156 231607523 463215046 926430092 959516881 1621252661 1919033762 3242505322 3838067524 6485010644 6716618167 13433236334 26866472668 47016327169 94032654338 188065308676