Search a number
-
+
117632165376 = 2931124631367
BaseRepresentation
bin110110110001101101…
…1000110011000000000
3102020121222200011000210
41231203123012120000
53411402313243001
6130012305314120
711333014623315
oct1554333063000
9366558604023
10117632165376
1145984321a00
121a96a935940
13b1287811ab
14599ca9ad0c
1530d7184dd6
hex1b636c6600

117632165376 has 240 divisors, whose sum is σ = 345454889472. Its totient is φ = 35543101440.

The previous prime is 117632165297. The next prime is 117632165393. The reversal of 117632165376 is 673561236711.

It is a super-2 number, since 2×1176321653762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86050645 + ... + 86052011.

Almost surely, 2117632165376 is an apocalyptic number.

117632165376 is a gapful number since it is divisible by the number (16) 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 117632165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172727444736).

117632165376 is an abundant number, since it is smaller than the sum of its proper divisors (227822724096).

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

117632165376 is a wasteful number, since it uses less digits than its factorization.

117632165376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1846 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The spelling of 117632165376 in words is "one hundred seventeen billion, six hundred thirty-two million, one hundred sixty-five thousand, three hundred seventy-six".