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4666444640 = 2551113203953
BaseRepresentation
bin1000101100010010…
…00100101101100000
3110001012201221121222
410112021010231200
534024102212030
62051014034212
7223432060604
oct42611045540
913035657558
104666444640
111a850a4a20
12aa2948968
13594a12760
14323a75504
151c4a1a3e5
hex116244b60

4666444640 has 96 divisors (see below), whose sum is σ = 12951894816. Its totient is φ = 1566351360.

The previous prime is 4666444639. The next prime is 4666444649. The reversal of 4666444640 is 464446664.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4666444591 and 4666444600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666444649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79097 + ... + 124856.

It is an arithmetic number, because the mean of its divisors is an integer number (134915571).

Almost surely, 24666444640 is an apocalyptic number.

4666444640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4666444640 is an abundant number, since it is smaller than the sum of its proper divisors (8285450176).

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

4666444640 is a wasteful number, since it uses less digits than its factorization.

4666444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203992 (or 203984 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The square root of 4666444640 is about 68311.3800182664. The cubic root of 4666444640 is about 1671.0728091910.

The spelling of 4666444640 in words is "four billion, six hundred sixty-six million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 203953 407906 815812 1019765 1631624 2039530 2243483 2651389 3263248 4079060 4486966 5302778 6526496 8158120 8973932 10605556 11217415 13256945 16316240 17947864 21211112 22434830 26513890 29165279 32632480 35895728 42422224 44869660 53027780 58330558 71791456 84844448 89739320 106055560 116661116 145826395 179478640 212111120 233322232 291652790 358957280 424222240 466644464 583305580 933288928 1166611160 2333222320 4666444640