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4672308680 = 2351358715307
BaseRepresentation
bin1000101100111110…
…11100010111001000
3110001121202212120122
410112133130113020
534032102334210
62051343442412
7223532653124
oct42637342710
913047685518
104672308680
111a8843a736
12aa48b6408
13595cb68c0
14324760584
151c52c7b55
hex1167dc5c8

4672308680 has 64 divisors (see below), whose sum is σ = 11341391040. Its totient is φ = 1722108672.

The previous prime is 4672308661. The next prime is 4672308689. The reversal of 4672308680 is 868032764.

It is not an unprimeable number, because it can be changed into a prime (4672308689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297587 + ... + 312893.

It is an arithmetic number, because the mean of its divisors is an integer number (177209235).

Almost surely, 24672308680 is an apocalyptic number.

4672308680 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 4672308680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670695520).

4672308680 is an abundant number, since it is smaller than the sum of its proper divisors (6669082360).

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

4672308680 is a wasteful number, since it uses less digits than its factorization.

4672308680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15914 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 4672308680 is about 68354.2879415769. The cubic root of 4672308680 is about 1671.7724950483.

The spelling of 4672308680 in words is "four billion, six hundred seventy-two million, three hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 587 1174 2348 2935 4696 5870 7631 11740 15262 15307 23480 30524 30614 38155 61048 61228 76310 76535 122456 152620 153070 198991 305240 306140 397982 612280 795964 994955 1591928 1989910 3979820 7959640 8985209 17970418 35940836 44926045 71881672 89852090 116807717 179704180 233615434 359408360 467230868 584038585 934461736 1168077170 2336154340 4672308680