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4945743360 = 29345172361
BaseRepresentation
bin1001001101100101…
…00000111000000000
3110202200021210110000
410212302200320000
540112102241420
62134432240000
7233363060565
oct44662407000
913680253400
104945743360
11210881a208
12b603a0000
1360a842b7c
1434cbba86c
151de2da690
hex126ca0e00

4945743360 has 800 divisors, whose sum is σ = 19892423232. Its totient is φ = 1167851520.

The previous prime is 4945743349. The next prime is 4945743371. The reversal of 4945743360 is 633475494.

4945743360 is a `hidden beast` number, since 49 + 4 + 574 + 3 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4945743349) and next prime (4945743371).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81077730 + ... + 81077790.

Almost surely, 24945743360 is an apocalyptic number.

4945743360 is a gapful number since it is divisible by the number (40) 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 4945743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946211616).

4945743360 is an abundant number, since it is smaller than the sum of its proper divisors (14946679872).

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

4945743360 is a wasteful number, since it uses less digits than its factorization.

4945743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 4945743360 is about 70325.9792679775. The cubic root of 4945743360 is about 1703.7682684281.

The spelling of 4945743360 in words is "four billion, nine hundred forty-five million, seven hundred forty-three thousand, three hundred sixty".