Search a number
-
+
425304164376 = 233473131961127
BaseRepresentation
bin1100011000001100001…
…10101000100000011000
31111122210011211002220000
412030012012220200120
523432010331230001
6523214304133000
742504301515000
oct6140606504030
91448704732800
10425304164376
11154409127643
126a515607160
133114bb9cc80
1416828ac5000
15b0e314da86
hex63061a8818

425304164376 has 1280 divisors, whose sum is σ = 1613230080000. Its totient is φ = 103699491840.

The previous prime is 425304164359. The next prime is 425304164387. The reversal of 425304164376 is 673461403524.

425304164376 is a `hidden beast` number, since 4 + 2 + 530 + 4 + 1 + 6 + 43 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3348851625 + ... + 3348851751.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336000).

Almost surely, 2425304164376 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 425304164376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806615040000).

425304164376 is an abundant number, since it is smaller than the sum of its proper divisors (1187925915624).

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

425304164376 is a wasteful number, since it uses less digits than its factorization.

425304164376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 425304164376 in words is "four hundred twenty-five billion, three hundred four million, one hundred sixty-four thousand, three hundred seventy-six".