Search a number
-
+
99860949885312 = 27347311192941113
BaseRepresentation
bin10110101101001010110000…
…011100011110000110000000
3111002120121120021222211020000
4112231022300130132012000
5101042110211132312222
6552215253112120000
730014500300521000
oct2655126034360600
9432517507884200
1099860949885312
1129900877927a20
12b24987a096000
134394b022c5785
141a9341d808000
15b8292c1809ac
hex5ad2b071e180

99860949885312 has 5120 divisors, whose sum is σ = 425473171200000. Its totient is φ = 22941912268800.

The previous prime is 99860949885289. The next prime is 99860949885317. The reversal of 99860949885312 is 21358894906899.

99860949885312 is a `hidden beast` number, since 9 + 9 + 8 + 60 + 9 + 498 + 8 + 53 + 12 = 666.

99860949885312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99860949885317) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 883725220168 + ... + 883725220280.

It is an arithmetic number, because the mean of its divisors is an integer number (83100228750).

Almost surely, 299860949885312 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 99860949885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212736585600000).

99860949885312 is an abundant number, since it is smaller than the sum of its proper divisors (325612221314688).

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

99860949885312 is a wasteful number, since it uses less digits than its factorization.

99860949885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 99860949885312 in words is "ninety-nine trillion, eight hundred sixty billion, nine hundred forty-nine million, eight hundred eighty-five thousand, three hundred twelve".