Search a number
-
+
117063313920 = 2932576173163
BaseRepresentation
bin110110100000110000…
…1000110101000000000
3102012011100021111112100
41231001201012220000
53404221202021140
6125440025030400
711312636515260
oct1550141065000
9365140244470
10117063313920
1145712209433
121a830325400
13b0679702b7
1459473017a0
1530a226b530
hex1b41846a00

117063313920 has 960 divisors, whose sum is σ = 480316472064. Its totient is φ = 25798901760.

The previous prime is 117063313919. The next prime is 117063313921. The reversal of 117063313920 is 29313360711.

117063313920 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 633 + 13 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117063313919) and next prime (117063313921).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117063313921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718179759 + ... + 718179921.

Almost surely, 2117063313920 is an apocalyptic number.

117063313920 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 117063313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240158236032).

117063313920 is an abundant number, since it is smaller than the sum of its proper divisors (363253158144).

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

117063313920 is a wasteful number, since it uses less digits than its factorization.

117063313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 117063313920 in words is "one hundred seventeen billion, sixty-three million, three hundred thirteen thousand, nine hundred twenty".