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4903978464 = 253471124571
BaseRepresentation
bin1001001000100110…
…01100010111100000
3110122202200220210000
410210103030113200
540020404302324
62130341140000
7232345062210
oct44423142740
913582626700
104903978464
112097193670
12b4a3ba600
13601cabc08
14347428240
151da7da9c9
hex1244cc5e0

4903978464 has 240 divisors, whose sum is σ = 17981986176. Its totient is φ = 1273708800.

The previous prime is 4903978447. The next prime is 4903978481. The reversal of 4903978464 is 4648793094.

It is a happy number.

4903978464 is a `hidden beast` number, since 4 + 90 + 3 + 97 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (4903978447) and next prime (4903978481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4903978464.

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 39 ways as a sum of consecutive naturals, for example, 187299 + ... + 211869.

Almost surely, 24903978464 is an apocalyptic number.

4903978464 is a gapful number since it is divisible by the number (44) 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 4903978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990993088).

4903978464 is an abundant number, since it is smaller than the sum of its proper divisors (13078007712).

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

4903978464 is a wasteful number, since it uses less digits than its factorization.

4903978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24611 (or 24594 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4903978464 is about 70028.4118340549. The cubic root of 4903978464 is about 1698.9588161942.

The spelling of 4903978464 in words is "four billion, nine hundred three million, nine hundred seventy-eight thousand, four hundred sixty-four".