Search a number
-
+
92548506764142 = 234111319827254249
BaseRepresentation
bin10101000010110000100000…
…110111101100001101101110
3110010200112212120011202210000
4111002300200313230031232
544112303320212423032
6524500110322125130
725331260162531662
oct2502604067541556
9403615776152700
1092548506764142
1127541668374270
12a46862b7b07a6
133c84395c78070
1418bd52ba648a2
15aa75ebbc1e7c
hex542c20dec36e

92548506764142 has 320 divisors, whose sum is σ = 256765813920000. Its totient is φ = 24495432030720.

The previous prime is 92548506763969. The next prime is 92548506764179. The reversal of 92548506764142 is 24146760584529.

92548506764142 is a `hidden beast` number, since 9 + 2 + 5 + 48 + 506 + 7 + 6 + 41 + 42 = 666.

It is a super-2 number, since 2×925485067641422 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 92548506764142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 363880234 + ... + 364134482.

It is an arithmetic number, because the mean of its divisors is an integer number (802393168500).

Almost surely, 292548506764142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92548506764142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128382906960000).

92548506764142 is an abundant number, since it is smaller than the sum of its proper divisors (164217307155858).

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

92548506764142 is a wasteful number, since it uses less digits than its factorization.

92548506764142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255133 (or 255124 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 92548506764142 in words is "ninety-two trillion, five hundred forty-eight billion, five hundred six million, seven hundred sixty-four thousand, one hundred forty-two".