Search a number
-
+
110976730368 = 2837231251379
BaseRepresentation
bin110011101011010111…
…0101000010100000000
3101121110011022000112220
41213112232220110000
53304240020332433
6122552040251040
711006051433600
oct1472656502400
9347404260486
10110976730368
1143079520099
1219611a70a80
13a60797a67a
14552abd4c00
152d47c2e2b3
hex19d6ba8500

110976730368 has 432 divisors, whose sum is σ = 357017794560. Its totient is φ = 30481920000.

The previous prime is 110976730343. The next prime is 110976730373. The reversal of 110976730368 is 863037679011.

It is a self number, because there is not a number n which added to its sum of digits gives 110976730368.

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, 292814403 + ... + 292814781.

It is an arithmetic number, because the mean of its divisors is an integer number (826430080).

Almost surely, 2110976730368 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 110976730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178508897280).

110976730368 is an abundant number, since it is smaller than the sum of its proper divisors (246041064192).

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

110976730368 is a wasteful number, since it uses less digits than its factorization.

110976730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 110976730368 in words is "one hundred ten billion, nine hundred seventy-six million, seven hundred thirty thousand, three hundred sixty-eight".