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4905368832 = 283721337271
BaseRepresentation
bin1001001000110000…
…11111110100000000
3110122212022120000010
410210120133310000
540021233300312
62130431024520
7232362642600
oct44430376400
913585276003
104905368832
112097a53231
12b4a96b140
13602377a10
143476aac00
151da9b293c
hex12461fd00

4905368832 has 432 divisors, whose sum is σ = 16859173632. Its totient is φ = 1254113280.

The previous prime is 4905368801. The next prime is 4905368843. The reversal of 4905368832 is 2388635094.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 18100857 + ... + 18101127.

Almost surely, 24905368832 is an apocalyptic number.

4905368832 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 4905368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429586816).

4905368832 is an abundant number, since it is smaller than the sum of its proper divisors (11953804800).

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

4905368832 is a wasteful number, since it uses less digits than its factorization.

4905368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 4905368832 is about 70038.3383012476. The cubic root of 4905368832 is about 1699.1193630362.

The spelling of 4905368832 in words is "four billion, nine hundred five million, three hundred sixty-eight thousand, eight hundred thirty-two".