Search a number
-
+
117929741280 = 253513212711447
BaseRepresentation
bin110110111010100101…
…0010000101111100000
3102021101201121120102120
41231311022100233200
53413010003210110
6130102015344240
711343260155461
oct1556512205740
9367351546376
10117929741280
11460172a00aa
121aa32522080
13b175310800
1459ca3dcd68
153103365870
hex1b75290be0

117929741280 has 288 divisors, whose sum is σ = 405454823424. Its totient is φ = 28797769728.

The previous prime is 117929741263. The next prime is 117929741299. The reversal of 117929741280 is 82147929711.

It is a Cunningham number, because it is equal to 3434092-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10296517 + ... + 10307963.

It is an arithmetic number, because the mean of its divisors is an integer number (1407829248).

Almost surely, 2117929741280 is an apocalyptic number.

117929741280 is a gapful number since it is divisible by the number (10) 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 117929741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202727411712).

117929741280 is an abundant number, since it is smaller than the sum of its proper divisors (287525082144).

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

117929741280 is a wasteful number, since it uses less digits than its factorization.

117929741280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11618 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 117929741280 in words is "one hundred seventeen billion, nine hundred twenty-nine million, seven hundred forty-one thousand, two hundred eighty".