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4630050864 = 2432711912371
BaseRepresentation
bin1000100111111100…
…01111100000110000
3102221200020221202100
410103332033200300
533440243111424
62043234020400
7222510532365
oct42376174060
912850227670
104630050864
111a665a781a
12a92717700
1358a30c48a
1431ccc046c
151c172bdc9
hex113f8f830

4630050864 has 120 divisors (see below), whose sum is σ = 13214582784. Its totient is φ = 1513008000.

The previous prime is 4630050863. The next prime is 4630050871. The reversal of 4630050864 is 4680500364.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4630050863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1951599 + ... + 1953969.

Almost surely, 24630050864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607291392).

4630050864 is an abundant number, since it is smaller than the sum of its proper divisors (8584531920).

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

4630050864 is a wasteful number, since it uses less digits than its factorization.

4630050864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4630050864 is about 68044.4771013783. The cubic root of 4630050864 is about 1666.7172132581.

The spelling of 4630050864 in words is "four billion, six hundred thirty million, fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 191 213 284 382 426 568 573 639 764 852 1136 1146 1278 1528 1704 1719 2292 2371 2556 3056 3408 3438 4584 4742 5112 6876 7113 9168 9484 10224 13561 13752 14226 18968 21339 27122 27504 28452 37936 40683 42678 54244 56904 81366 85356 108488 113808 122049 162732 168341 170712 216976 244098 325464 336682 341424 452861 488196 505023 650928 673364 905722 976392 1010046 1346728 1358583 1515069 1811444 1952784 2020092 2693456 2717166 3030138 3622888 4040184 4075749 5434332 6060276 7245776 8080368 8151498 10868664 12120552 16302996 21737328 24241104 32153131 32605992 64306262 65211984 96459393 128612524 192918786 257225048 289378179 385837572 514450096 578756358 771675144 1157512716 1543350288 2315025432 4630050864