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4672059104 = 253121391093
BaseRepresentation
bin1000101100111100…
…11111011011100000
3110001121022012020002
410112132133123200
534032021342404
62051334235132
7223530563366
oct42636373340
913047265202
104672059104
111a8828a179
12aa47b5aa8
13595c2a11b
143246d7636
151c5278c1e
hex11679f6e0

4672059104 has 72 divisors (see below), whose sum is σ = 9581536440. Its totient is φ = 2242356480.

The previous prime is 4672059103. The next prime is 4672059121. The reversal of 4672059104 is 4019502764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672059103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4273982 + ... + 4275074.

It is an arithmetic number, because the mean of its divisors is an integer number (133076895).

Almost surely, 24672059104 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 4672059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790768220).

4672059104 is an abundant number, since it is smaller than the sum of its proper divisors (4909477336).

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

4672059104 is a wasteful number, since it uses less digits than its factorization.

4672059104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 4672059104 is about 68352.4623111706. The cubic root of 4672059104 is about 1671.7427280566.

The spelling of 4672059104 in words is "four billion, six hundred seventy-two million, fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 139 248 278 496 556 961 992 1093 1112 1922 2186 2224 3844 4309 4372 4448 7688 8618 8744 15376 17236 17488 30752 33883 34472 34976 67766 68944 133579 135532 137888 151927 267158 271064 303854 534316 542128 607708 1050373 1068632 1084256 1215416 2100746 2137264 2430832 4201492 4274528 4709737 4861664 8402984 9419474 16805968 18838948 33611936 37677896 75355792 146001847 150711584 292003694 584007388 1168014776 2336029552 4672059104