Search a number
-
+
117365763407420 = 2251137891032396581
BaseRepresentation
bin11010101011111001011000…
…101000101111111000111100
3120101120001112211220000122202
4122223321120220233320330
5110340410040413014140
61053341030512331032
733502253012454263
oct3253713050577074
9511501484800582
10117365763407420
113443a5a47a7120
12111b6330843a78
13506470c2246c8
1420da7673915da
15d87e45cc4915
hex6abe58a2fe3c

117365763407420 has 384 divisors, whose sum is σ = 283177733529600. Its totient is φ = 40483512115200.

The previous prime is 117365763407371. The next prime is 117365763407437. The reversal of 117365763407420 is 24704367563711.

117365763407420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1173657634074202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17834028530 + ... + 17834035110.

It is an arithmetic number, because the mean of its divisors is an integer number (737442014400).

Almost surely, 2117365763407420 is an apocalyptic number.

117365763407420 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 117365763407420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141588866764800).

117365763407420 is an abundant number, since it is smaller than the sum of its proper divisors (165811970122180).

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

117365763407420 is a wasteful number, since it uses less digits than its factorization.

117365763407420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 117365763407420 in words is "one hundred seventeen trillion, three hundred sixty-five billion, seven hundred sixty-three million, four hundred seven thousand, four hundred twenty".