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4674056672 = 252937197691
BaseRepresentation
bin1000101101001100…
…00111000111100000
3110001202001200101002
410112212013013200
534033024303142
62051445131132
7223553553245
oct42646070740
913052050332
104674056672
111a89423a5a
12aa53b9aa8
1359647940c
14324a975cc
151c5520a32
hex1169871e0

4674056672 has 96 divisors (see below), whose sum is σ = 9840489120. Its totient is φ = 2181150720.

The previous prime is 4674056669. The next prime is 4674056719. The reversal of 4674056672 is 2766504764.

It is a congruent number.

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, 6763847 + ... + 6764537.

It is an arithmetic number, because the mean of its divisors is an integer number (102505095).

Almost surely, 24674056672 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 4674056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920244560).

4674056672 is an abundant number, since it is smaller than the sum of its proper divisors (5166432448).

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

4674056672 is a wasteful number, since it uses less digits than its factorization.

4674056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The square root of 4674056672 is about 68367.0730103315. The cubic root of 4674056672 is about 1671.9809487844.

The spelling of 4674056672 in words is "four billion, six hundred seventy-four million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 197 232 296 394 464 592 691 788 928 1073 1184 1382 1576 2146 2764 3152 4292 5528 5713 6304 7289 8584 11056 11426 14578 17168 20039 22112 22852 25567 29156 34336 40078 45704 51134 58312 80156 91408 102268 116624 136127 160312 182816 204536 211381 233248 272254 320624 409072 422762 544508 641248 741443 818144 845524 1089016 1482886 1691048 2178032 2965772 3382096 3947683 4356064 5036699 5931544 6764192 7895366 10073398 11863088 15790732 20146796 23726176 31581464 40293592 63162928 80587184 126325856 146064271 161174368 292128542 584257084 1168514168 2337028336 4674056672