Search a number
-
+
117646063920 = 243257311231127
BaseRepresentation
bin110110110010001000…
…0000111100100110000
3102020122221211021020200
41231210100013210300
53411414343021140
6130013523235200
711333244021000
oct1554420074460
9366587737220
10117646063920
1145991155100
121a973518b00
13b12b609398
1459a0878000
1530d84cd030
hex1b64407930

117646063920 has 1440 divisors, whose sum is σ = 526899609600. Its totient is φ = 23471078400.

The previous prime is 117646063903. The next prime is 117646063937. The reversal of 117646063920 is 29360646711.

117646063920 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 4 + 6 + 0 + 639 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117646063903) and next prime (117646063937).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 926346897 + ... + 926347023.

Almost surely, 2117646063920 is an apocalyptic number.

117646063920 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 117646063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263449804800).

117646063920 is an abundant number, since it is smaller than the sum of its proper divisors (409253545680).

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

117646063920 is a wasteful number, since it uses less digits than its factorization.

117646063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 11764606 and 3920, that added together give a triangular number (11768526 = T4851).

The spelling of 117646063920 in words is "one hundred seventeen billion, six hundred forty-six million, sixty-three thousand, nine hundred twenty".