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4509472506 = 23711233471223
BaseRepresentation
bin1000011001100100…
…10001011011111010
3102122021100221100020
410030302101123322
533213411110011
62023245351310
7216514612110
oct41462213372
912567327306
104509472506
111a04530490
12a5a268536
1356b342236
1430ac93ab0
151b5d60006
hex10cc916fa

4509472506 has 128 divisors (see below), whose sum is σ = 11776720896. Its totient is φ = 1116223680.

The previous prime is 4509472493. The next prime is 4509472507. The reversal of 4509472506 is 6052749054.

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

It is not an unprimeable number, because it can be changed into a prime (4509472507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3686611 + ... + 3687833.

It is an arithmetic number, because the mean of its divisors is an integer number (92005632).

Almost surely, 24509472506 is an apocalyptic number.

4509472506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4509472506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888360448).

4509472506 is an abundant number, since it is smaller than the sum of its proper divisors (7267248390).

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

4509472506 is a wasteful number, since it uses less digits than its factorization.

4509472506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 4509472506 is about 67152.6060998380. The cubic root of 4509472506 is about 1652.1212394434.

The spelling of 4509472506 in words is "four billion, five hundred nine million, four hundred seventy-two thousand, five hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 347 462 483 506 694 759 966 1041 1223 1518 1771 2082 2429 2446 3542 3669 3817 4858 5313 7287 7338 7634 7981 8561 10626 11451 13453 14574 15962 17122 22902 23943 25683 26719 26906 28129 40359 47886 51366 53438 55867 56258 80157 80718 84387 87791 94171 111734 160314 167601 168774 175582 188342 196903 263373 282513 309419 335202 393806 424381 526746 565026 590709 614537 618838 848762 928257 1181418 1229074 1273143 1843611 1856514 2165933 2546286 2970667 3687222 4331866 4668191 5941334 6497799 8912001 9336382 9760763 12995598 14004573 17824002 19521526 28009146 29282289 32677337 58564578 65354674 68325341 98032011 107368393 136650682 196064022 204976023 214736786 322105179 409952046 644210358 751578751 1503157502 2254736253 4509472506