Search a number
-
+
470424794112 = 21032713653859
BaseRepresentation
bin1101101100001111000…
…00001011010000000000
31122222020201020120211200
412312013200023100000
530201412221402422
61000035443541200
745662364526320
oct6660740132000
91588221216750
10470424794112
11171562594589
127720838a800
133548ca98850
1418aa9395280
15c3844692ac
hex6d8780b400

470424794112 has 528 divisors, whose sum is σ = 1676314174080. Its totient is φ = 123733868544.

The previous prime is 470424794071. The next prime is 470424794141. The reversal of 470424794112 is 211497424074.

470424794112 is a `hidden beast` number, since 47 + 0 + 424 + 79 + 4 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547641939 + ... + 547642797.

Almost surely, 2470424794112 is an apocalyptic number.

470424794112 is a gapful number since it is divisible by the number (42) 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 470424794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838157087040).

470424794112 is an abundant number, since it is smaller than the sum of its proper divisors (1205889379968).

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

470424794112 is a wasteful number, since it uses less digits than its factorization.

470424794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 470424794112 in words is "four hundred seventy billion, four hundred twenty-four million, seven hundred ninety-four thousand, one hundred twelve".