Search a number
-
+
427467296256 = 29371113416781
BaseRepresentation
bin1100011100001110000…
…10010100111000000000
31111212100221010120222120
412032013002110320000
524000423111440011
6524213055404240
742612016031640
oct6160702247000
91455327116876
10427467296256
11155319165640
126aa19b23680
1331405093470
14169920c6520
15b1bced6a06
hex6387094e00

427467296256 has 640 divisors, whose sum is σ = 1566541734912. Its totient is φ = 99975168000.

The previous prime is 427467296219. The next prime is 427467296293. The reversal of 427467296256 is 652692764724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427467296219) and next prime (427467296293).

It is a self number, because there is not a number n which added to its sum of digits gives 427467296256.

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, 63035586 + ... + 63042366.

Almost surely, 2427467296256 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 427467296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783270867456).

427467296256 is an abundant number, since it is smaller than the sum of its proper divisors (1139074438656).

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

427467296256 is a wasteful number, since it uses less digits than its factorization.

427467296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6858 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 60.

The spelling of 427467296256 in words is "four hundred twenty-seven billion, four hundred sixty-seven million, two hundred ninety-six thousand, two hundred fifty-six".