Search a number
-
+
117995661522 = 2381731113151
BaseRepresentation
bin110110111100100010…
…1101110100011010010
3102021120022122200000000
41231321011232203102
53413123342132042
6130112332310430
711345020400664
oct1557105564322
9367508580000
10117995661522
1146050524a42
121aa50612416
13b185b8137b
1459d507c534
15310903774c
hex1b7916e8d2

117995661522 has 288 divisors, whose sum is σ = 294666937344. Its totient is φ = 35271936000.

The previous prime is 117995661499. The next prime is 117995661533. The reversal of 117995661522 is 225166599711.

117995661522 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 9 + 56 + 61 + 522 = 666.

It is a super-2 number, since 2×1179956615222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 781428147 + ... + 781428297.

It is an arithmetic number, because the mean of its divisors is an integer number (1023149088).

Almost surely, 2117995661522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117995661522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147333468672).

117995661522 is an abundant number, since it is smaller than the sum of its proper divisors (176671275822).

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

117995661522 is a wasteful number, since it uses less digits than its factorization.

117995661522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 117995661522 in words is "one hundred seventeen billion, nine hundred ninety-five million, six hundred sixty-one thousand, five hundred twenty-two".