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4234468680 = 2332513904801
BaseRepresentation
bin1111110001100100…
…1101110101001000
3101221002220022000100
43330121031311020
532133010444210
61540103205400
7206635250511
oct37431156510
911832808010
104234468680
111883279aa2
129a2146860
13526386990
142c2549a08
1519bb3c5c0
hexfc64dd48

4234468680 has 96 divisors (see below), whose sum is σ = 14820656760. Its totient is φ = 1042329600.

The previous prime is 4234468661. The next prime is 4234468691. The reversal of 4234468680 is 868644324.

It can be written as a sum of positive squares in 4 ways, for example, as 3894508836 + 339959844 = 62406^2 + 18438^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 447721 + ... + 457080.

Almost surely, 24234468680 is an apocalyptic number.

4234468680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234468680 is an abundant number, since it is smaller than the sum of its proper divisors (10586188080).

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

4234468680 is a wasteful number, since it uses less digits than its factorization.

4234468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904831 (or 904824 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4234468680 is about 65072.7952373340. The cubic root of 4234468680 is about 1617.8303373564.

The spelling of 4234468680 in words is "four billion, two hundred thirty-four million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 904801 1809602 2714403 3619204 4524005 5428806 7238408 8143209 9048010 10857612 11762413 13572015 16286418 18096020 21715224 23524826 27144030 32572836 35287239 36192040 40716045 47049652 54288060 58812065 65145672 70574478 81432090 94099304 105861717 108576120 117624130 141148956 162864180 176436195 211723434 235248260 282297912 325728360 352872390 423446868 470496520 529308585 705744780 846893736 1058617170 1411489560 2117234340 4234468680