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4945312944 = 243211133161127
BaseRepresentation
bin1001001101100001…
…10111110010110000
3110202122110221000200
410212300313302300
540112000003234
62134415115200
7233356315665
oct44660676260
913678427020
104945312944
1121085558a0
12b60212b00
1360a721ca0
1434cb07a6c
151de252d99
hex126c37cb0

4945312944 has 480 divisors, whose sum is σ = 17193566208. Its totient is φ = 1306368000.

The previous prime is 4945312861. The next prime is 4945312963. The reversal of 4945312944 is 4492135494.

4945312944 is a `hidden beast` number, since 4 + 94 + 531 + 29 + 4 + 4 = 666.

It is a super-2 number, since 2×49453129442 = 48912240228187894272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4945312944.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38939409 + ... + 38939535.

Almost surely, 24945312944 is an apocalyptic number.

4945312944 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 4945312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596783104).

4945312944 is an abundant number, since it is smaller than the sum of its proper divisors (12248253264).

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

4945312944 is a wasteful number, since it uses less digits than its factorization.

4945312944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 4945312944 is about 70322.9190520416. The cubic root of 4945312944 is about 1703.7188420599.

The spelling of 4945312944 in words is "four billion, nine hundred forty-five million, three hundred twelve thousand, nine hundred forty-four".