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471130640730 = 233513916017841
BaseRepresentation
bin1101101101100011001…
…00110001000101011010
31200001001220102022101000
412312301210301011122
530204333421000410
61000233500405430
746016025241221
oct6666144610532
91601056368330
10471130640730
11171894a675a2
1277384846876
13355730a4179
1418b35011cb8
15c3c63e3dc0
hex6db193115a

471130640730 has 128 divisors (see below), whose sum is σ = 1266338707200. Its totient is φ = 124637184000.

The previous prime is 471130640711. The next prime is 471130640797. The reversal of 471130640730 is 37046031174.

471130640730 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 3 + 0 + 640 + 7 + 3 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60081610 + ... + 60089450.

It is an arithmetic number, because the mean of its divisors is an integer number (9893271150).

Almost surely, 2471130640730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471130640730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633169353600).

471130640730 is an abundant number, since it is smaller than the sum of its proper divisors (795208066470).

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

471130640730 is a wasteful number, since it uses less digits than its factorization.

471130640730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 471130640730 in words is "four hundred seventy-one billion, one hundred thirty million, six hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 270 278 417 695 834 1251 1390 1601 2085 2502 3202 3753 4170 4803 6255 7506 7841 8005 9606 12510 14409 15682 16010 18765 23523 24015 28818 37530 39205 43227 47046 48030 70569 72045 78410 86454 117615 141138 144090 211707 216135 222539 235230 352845 423414 432270 445078 667617 705690 1058535 1089899 1112695 1335234 2002851 2117070 2179798 2225390 3269697 3338085 4005702 5449495 6008553 6539394 6676170 9809091 10014255 10898990 12017106 12553441 16348485 19618182 20028510 25106882 29427273 30042765 32696970 37660323 49045455 58854546 60085530 62767205 75320646 98090910 112980969 125534410 147136365 188301615 225961938 294272730 338942907 376603230 564904845 677885814 1129809690 1694714535 1744928299 3389429070 3489856598 5234784897 8724641495 10469569794 15704354691 17449282990 26173924485 31408709382 47113064073 52347848970 78521773455 94226128146 157043546910 235565320365 471130640730