Search a number
-
+
494766225408 = 21137136189163
BaseRepresentation
bin1110011001100100101…
…11010111100000000000
31202022002002221102020010
413030302113113200000
531101240123203113
61015143101144520
750513524345320
oct7146227274000
91668062842203
10494766225408
111809136aa154
127ba8025b140
133786ba3ab30
1419d380ab280
15cd0b4001c3
hex73325d7800

494766225408 has 768 divisors, whose sum is σ = 1678842547200. Its totient is φ = 126127964160.

The previous prime is 494766225403. The next prime is 494766225409. The reversal of 494766225408 is 804522667494.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494766225403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3035375535 + ... + 3035375697.

It is an arithmetic number, because the mean of its divisors is an integer number (2185992900).

Almost surely, 2494766225408 is an apocalyptic number.

494766225408 is a gapful number since it is divisible by the number (48) 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 494766225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839421273600).

494766225408 is an abundant number, since it is smaller than the sum of its proper divisors (1184076321792).

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

494766225408 is a wasteful number, since it uses less digits than its factorization.

494766225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 494766225408 in words is "four hundred ninety-four billion, seven hundred sixty-six million, two hundred twenty-five thousand, four hundred eight".