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4445016320 = 2856156929
BaseRepresentation
bin1000010001111000…
…11001000100000000
3102110210002020002002
410020330121010000
533100411010240
62013024043132
7215103005153
oct41074310400
912423066062
104445016320
111981106608
12a407634a8
1355ab94b94
143024b5c9a
151b037bd15
hex108f19100

4445016320 has 72 divisors (see below), whose sum is σ = 10821937560. Its totient is φ = 1748828160.

The previous prime is 4445016319. The next prime is 4445016341. The reversal of 4445016320 is 236105444.

It can be written as a sum of positive squares in 4 ways, for example, as 446730496 + 3998285824 = 21136^2 + 63232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49616 + ... + 106544.

Almost surely, 24445016320 is an apocalyptic number.

4445016320 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 4445016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410968780).

4445016320 is an abundant number, since it is smaller than the sum of its proper divisors (6376921240).

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

4445016320 is an equidigital number, since it uses as much as digits as its factorization.

4445016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57011 (or 56997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 4445016320 is about 66670.9555953715. The cubic root of 4445016320 is about 1644.2118981826.

The spelling of 4445016320 in words is "four billion, four hundred forty-five million, sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3904 4880 7808 9760 15616 19520 39040 56929 78080 113858 227716 284645 455432 569290 910864 1138580 1821728 2277160 3472669 3643456 4554320 6945338 7286912 9108640 13890676 14573824 17363345 18217280 27781352 34726690 36434560 55562704 69453380 72869120 111125408 138906760 222250816 277813520 444501632 555627040 889003264 1111254080 2222508160 4445016320