Search a number
-
+
97045570071240 = 233576311301140731
BaseRepresentation
bin10110000100001100101110…
…101110110010101011001000
3110201121110120122011201121220
4112010030232232302223020
5100204443311414234430
6542222041444002040
726304211460121540
oct2604145656625310
9421543518151556
1097045570071240
1128a158823724aa
12aa740b9090320
13421c48667434b
1419d7060180320
15b345a0a74110
hex58432ebb2ac8

97045570071240 has 256 divisors, whose sum is σ = 333513493770240. Its totient is φ = 22129511040000.

The previous prime is 97045570071209. The next prime is 97045570071271. The reversal of 97045570071240 is 4217007554079.

It is a Cunningham number, because it is equal to 98511712-1.

It is an interprime number because it is at equal distance from previous prime (97045570071209) and next prime (97045570071271).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689511675 + ... + 689652405.

It is an arithmetic number, because the mean of its divisors is an integer number (1302787085040).

Almost surely, 297045570071240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97045570071240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166756746885120).

97045570071240 is an abundant number, since it is smaller than the sum of its proper divisors (236467923699000).

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

97045570071240 is a wasteful number, since it uses less digits than its factorization.

97045570071240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142684 (or 142680 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 97045570071240 in words is "ninety-seven trillion, forty-five billion, five hundred seventy million, seventy-one thousand, two hundred forty".