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4466034636 = 223727921217
BaseRepresentation
bin1000010100011001…
…00100011111001100
3102112020122001210020
410022030210133030
533121301102021
62015054342140
7215446445100
oct41214443714
912466561706
104466034636
111991a61a18
12a477ba950
1356234395b
143051c7900
151b212e7c6
hex10a3247cc

4466034636 has 108 divisors (see below), whose sum is σ = 12287568888. Its totient is φ = 1258822656.

The previous prime is 4466034619. The next prime is 4466034659. The reversal of 4466034636 is 6364306644.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3669100 + ... + 3670316.

It is an arithmetic number, because the mean of its divisors is an integer number (113773786).

Almost surely, 24466034636 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 4466034636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143784444).

4466034636 is an abundant number, since it is smaller than the sum of its proper divisors (7821534252).

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

4466034636 is a wasteful number, since it uses less digits than its factorization.

4466034636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The square root of 4466034636 is about 66828.3969282520. The cubic root of 4466034636 is about 1646.7993830720.

The spelling of 4466034636 in words is "four billion, four hundred sixty-six million, thirty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1217 1659 2212 2434 3318 3651 3871 4868 6241 6636 7302 7742 8519 11613 12482 14604 15484 17038 18723 23226 24964 25557 34076 37446 43687 46452 51114 59633 74892 87374 96143 102228 119266 131061 174748 178899 192286 238532 262122 288429 305809 357798 384572 524244 576858 611618 673001 715596 917427 1153716 1223236 1346002 1834854 2019003 2692004 3669708 4038006 4711007 7595297 8076012 9422014 14133021 15190594 18844028 22785891 28266042 30381188 45571782 53167079 56532084 91143564 106334158 159501237 212668316 319002474 372169553 638004948 744339106 1116508659 1488678212 2233017318 4466034636