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4660081728 = 26373503661
BaseRepresentation
bin1000101011100001…
…10011010001000000
3110000202202200100120
410111300303101000
534020440103403
62050225420240
7223324020051
oct42560632100
913022680316
104660081728
111a81549415
12aa079a680
135935c5513
14322c9a728
151c41aee53
hex115c33440

4660081728 has 112 divisors (see below), whose sum is σ = 12542495616. Its totient is φ = 1526722560.

The previous prime is 4660081709. The next prime is 4660081747. The reversal of 4660081728 is 8271800664.

It is an interprime number because it is at equal distance from previous prime (4660081709) and next prime (4660081747).

It is a self number, because there is not a number n which added to its sum of digits gives 4660081728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049718 + ... + 7050378.

It is an arithmetic number, because the mean of its divisors is an integer number (111986568).

Almost surely, 24660081728 is an apocalyptic number.

4660081728 is a gapful number since it is divisible by the number (48) 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 4660081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271247808).

4660081728 is an abundant number, since it is smaller than the sum of its proper divisors (7882413888).

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

4660081728 is a wasteful number, since it uses less digits than its factorization.

4660081728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4660081728 is about 68264.7912763234. The cubic root of 4660081728 is about 1670.3129354879.

The spelling of 4660081728 in words is "four billion, six hundred sixty million, eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 503 584 661 876 1006 1168 1322 1509 1752 1983 2012 2336 2644 3018 3504 3966 4024 4672 5288 6036 7008 7932 8048 10576 12072 14016 15864 16096 21152 24144 31728 32192 36719 42304 48253 48288 63456 73438 96506 96576 110157 126912 144759 146876 193012 220314 289518 293752 332483 386024 440628 579036 587504 664966 772048 881256 997449 1158072 1175008 1329932 1544096 1762512 1994898 2316144 2350016 2659864 3088192 3525024 3989796 4632288 5319728 7050048 7979592 9264576 10639456 15959184 21278912 24271259 31918368 48542518 63836736 72813777 97085036 145627554 194170072 291255108 388340144 582510216 776680288 1165020432 1553360576 2330040864 4660081728