Search a number
-
+
116324492117600 = 255213191382942569
BaseRepresentation
bin11010011100101111101000…
…000010000000011001100000
3120020212111211212020211220002
4122130233220002000121200
5110221330024440230400
61051222422311035132
733334111232521154
oct3234575002003140
9506774755224802
10116324492117600
1134078a38255348
121106857106baa8
134cba4776b1520
1420a21c79b1064
15d6ad01157ed5
hex69cbe8080660

116324492117600 has 288 divisors, whose sum is σ = 321948276804000. Its totient is φ = 40686126612480.

The previous prime is 116324492117591. The next prime is 116324492117693. The reversal of 116324492117600 is 6711294423611.

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, 2732589116 + ... + 2732631684.

It is an arithmetic number, because the mean of its divisors is an integer number (1117875961125).

Almost surely, 2116324492117600 is an apocalyptic number.

116324492117600 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 116324492117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160974138402000).

116324492117600 is an abundant number, since it is smaller than the sum of its proper divisors (205623784686400).

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

116324492117600 is a wasteful number, since it uses less digits than its factorization.

116324492117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56450 (or 56437 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 116324492117600 in words is "one hundred sixteen trillion, three hundred twenty-four billion, four hundred ninety-two million, one hundred seventeen thousand, six hundred".