Search a number
-
+
100491794304 = 27311233161547
BaseRepresentation
bin101110110010111000…
…1110001011110000000
3100121101110001002012120
41131211301301132000
53121301344404204
6114055411524240
710155165105066
oct1354561613600
9317343032176
10100491794304
1139688aa8480
12175865b9680
1396266808a5
144c144bc036
1529324d16d9
hex1765c71780

100491794304 has 512 divisors, whose sum is σ = 319385272320. Its totient is φ = 27675648000.

The previous prime is 100491794231. The next prime is 100491794383. The reversal of 100491794304 is 403497194001.

It is a congruent number.

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, 183714159 + ... + 183714705.

It is an arithmetic number, because the mean of its divisors is an integer number (623799360).

Almost surely, 2100491794304 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 100491794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159692636160).

100491794304 is an abundant number, since it is smaller than the sum of its proper divisors (218893478016).

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

100491794304 is a wasteful number, since it uses less digits than its factorization.

100491794304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 100491794304 in words is "one hundred billion, four hundred ninety-one million, seven hundred ninety-four thousand, three hundred four".