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4181482668 = 22311216972
BaseRepresentation
bin1111100100111100…
…0101110010101100
3101210102012022212110
43321033011302230
532030424421133
61530531404020
7205423005366
oct37117056254
911712168773
104181482668
111856379900
12988453610
135183c43cc
142b94b5d36
15197172c63
hexf93c5cac

4181482668 has 54 divisors (see below), whose sum is σ = 10730732068. Its totient is φ = 1266369280.

The previous prime is 4181482661. The next prime is 4181482687. The reversal of 4181482668 is 8662841814.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4181482661) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2463196 + ... + 2464892.

Almost surely, 24181482668 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 4181482668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365366034).

4181482668 is an abundant number, since it is smaller than the sum of its proper divisors (6549249400).

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

4181482668 is a wasteful number, since it uses less digits than its factorization.

4181482668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 1713 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 4181482668 is about 64664.3848497765. The cubic root of 4181482668 is about 1611.0540103904.

Multiplying 4181482668 by its sum of digits (48), we get a square (200711168064 = 4480082).

The spelling of 4181482668 in words is "four billion, one hundred eighty-one million, four hundred eighty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1697 3394 5091 6788 10182 18667 20364 37334 56001 74668 112002 205337 224004 410674 616011 821348 1232022 2464044 2879809 5759618 8639427 11519236 17278854 31677899 34557708 63355798 95033697 126711596 190067394 348456889 380134788 696913778 1045370667 1393827556 2090741334 4181482668