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4666112264 = 23111719167983
BaseRepresentation
bin1000101100001111…
…10011100100001000
3110001012010001200202
410112013303210020
534024011043024
62051002551332
7223426204562
oct42607634410
913035101622
104666112264
111a84998230
12aa2808548
13594927398
143239ca332
151c49a1bae
hex1161f3908

4666112264 has 128 divisors (see below), whose sum is σ = 10712217600. Its totient is φ = 1877898240.

The previous prime is 4666112263. The next prime is 4666112273. The reversal of 4666112264 is 4622116664.

Together with 6046105335 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (4666112263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4746317 + ... + 4747299.

It is an arithmetic number, because the mean of its divisors is an integer number (83689200).

Almost surely, 24666112264 is an apocalyptic number.

4666112264 is a gapful number since it is divisible by the number (44) 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 4666112264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356108800).

4666112264 is an abundant number, since it is smaller than the sum of its proper divisors (6046105336).

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

4666112264 is a wasteful number, since it uses less digits than its factorization.

4666112264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 4666112264 is about 68308.9471738512. The cubic root of 4666112264 is about 1671.0331331831.

The spelling of 4666112264 in words is "four billion, six hundred sixty-six million, one hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 167 187 209 323 334 374 418 646 668 748 836 983 1292 1336 1496 1672 1837 1966 2584 2839 3173 3553 3674 3932 5678 6346 7106 7348 7864 10813 11356 12692 14212 14696 16711 18677 21626 22712 25384 28424 31229 33422 34903 37354 43252 53941 62458 66844 69806 74708 86504 107882 124916 133688 139612 149416 164161 183821 205447 215764 249832 279224 317509 328322 367642 410894 431528 593351 635018 656644 735284 821788 1186702 1270036 1313288 1470568 1643576 1805771 2373404 2540072 2790737 3119059 3492599 3611542 4746808 5581474 6238118 6985198 7223084 11162948 12476236 13970396 14446168 22325896 24952472 27940792 30698107 34309649 53024003 61396214 68619298 106048006 122792428 137238596 212096012 245584856 274477192 424192024 583264033 1166528066 2333056132 4666112264