Search a number
-
+
99457107120 = 2434572595309
BaseRepresentation
bin101110010100000011…
…0110000010010110000
3100111201100002112020000
41130220012300102300
53112142004411440
6113405010550000
710120432314300
oct1345006602260
9314640075200
1099457107120
11391a7a426a8
1217337b98300
1394c01ba157
144b56d01600
1528c174c730
hex17281b04b0

99457107120 has 600 divisors, whose sum is σ = 408713461200. Its totient is φ = 22343537664.

The previous prime is 99457107109. The next prime is 99457107143. The reversal of 99457107120 is 2170175499.

99457107120 is a `hidden beast` number, since 9 + 9 + 4 + 571 + 0 + 71 + 2 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 18731026 + ... + 18736334.

It is an arithmetic number, because the mean of its divisors is an integer number (681189102).

Almost surely, 299457107120 is an apocalyptic number.

99457107120 is a gapful number since it is divisible by the number (90) 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 99457107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204356730600).

99457107120 is an abundant number, since it is smaller than the sum of its proper divisors (309256354080).

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

99457107120 is a wasteful number, since it uses less digits than its factorization.

99457107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 99457107120 in words is "ninety-nine billion, four hundred fifty-seven million, one hundred seven thousand, one hundred twenty".