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6474664746 = 2331121099091
BaseRepresentation
bin1100000011110101…
…11000101100101010
3121201020020001022000
412001322320230222
5101230003232441
62550250311430
7316306512414
oct60172705452
917636201260
106474664746
112822863500
121308428576
137c2520194
14455c8b9b4
1527d6492b6
hex181eb8b2a

6474664746 has 96 divisors (see below), whose sum is σ = 15961915200. Its totient is φ = 1943805600.

The previous prime is 6474664741. The next prime is 6474664759.

6474664746 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (16257024) is a multiple of the sum of its prime divisors (9216).

It is a junction number, because it is equal to n+sod(n) for n = 6474664692 and 6474664701.

It is not an unprimeable number, because it can be changed into a prime (6474664741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707661 + ... + 716751.

It is an arithmetic number, because the mean of its divisors is an integer number (166269950).

Almost surely, 26474664746 is an apocalyptic number.

6474664746 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6474664746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980957600).

6474664746 is an abundant number, since it is smaller than the sum of its proper divisors (9487250454).

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

6474664746 is a wasteful number, since it uses less digits than its factorization.

6474664746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9216 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 6474664746 is about 80465.3015031945. The cubic root of 6474664746 is about 1863.8277002856.

The spelling of 6474664746 in words is "six billion, four hundred seventy-four million, six hundred sixty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 121 198 218 242 297 327 363 594 654 726 981 1089 1199 1962 2178 2398 2943 3267 3597 5886 6534 7194 9091 10791 13189 18182 21582 26378 27273 32373 39567 54546 64746 79134 81819 100001 118701 163638 200002 237402 245457 300003 356103 490914 600006 712206 900009 990919 1100011 1800018 1981838 2200022 2700027 2972757 3300033 5400054 5945514 6600066 8918271 9900099 10900109 17836542 19800198 21800218 26754813 29700297 32700327 53509626 59400594 65400654 98100981 119901199 196201962 239802398 294302943 359703597 588605886 719407194 1079110791 2158221582 3237332373 6474664746