Search a number
-
+
116969631768 = 233411314112911
BaseRepresentation
bin110110011101111101…
…1101111000000011000
3102011220210222221210000
41230323323233000120
53404023211204033
6125422441053000
711310421315413
oct1547373570030
9364823887700
10116969631768
1145674342670
121a804a87160
13b05142c382
145938ab6b7a
153098e13a13
hex1b3beef018

116969631768 has 320 divisors, whose sum is σ = 377964195840. Its totient is φ = 33462720000.

The previous prime is 116969631761. The next prime is 116969631769. The reversal of 116969631768 is 867136969611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116969631761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9053233 + ... + 9066143.

It is an arithmetic number, because the mean of its divisors is an integer number (1181138112).

Almost surely, 2116969631768 is an apocalyptic number.

116969631768 is a gapful number since it is divisible by the number (18) 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 116969631768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188982097920).

116969631768 is an abundant number, since it is smaller than the sum of its proper divisors (260994564072).

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

116969631768 is a wasteful number, since it uses less digits than its factorization.

116969631768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 12999 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 116969631768 in words is "one hundred sixteen billion, nine hundred sixty-nine million, six hundred thirty-one thousand, seven hundred sixty-eight".