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473313662304 = 25372290934589
BaseRepresentation
bin1101110001100111011…
…00010101010101100000
31200020201001011021222220
412320303230111111200
530223321244143204
61001234242231040
746124103514500
oct6706354252540
91606631137886
10473313662304
1117280524aa5a
1277893955480
133583043c802
1418ca0d0da00
15c4a2daa1d9
hex6e33b15560

473313662304 has 144 divisors (see below), whose sum is σ = 1445835711600. Its totient is φ = 135182078976.

The previous prime is 473313662249. The next prime is 473313662321. The reversal of 473313662304 is 403266313374.

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 13666642 + ... + 13701230.

It is an arithmetic number, because the mean of its divisors is an integer number (10040525775).

Almost surely, 2473313662304 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 473313662304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722917855800).

473313662304 is an abundant number, since it is smaller than the sum of its proper divisors (972522049296).

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

473313662304 is a wasteful number, since it uses less digits than its factorization.

473313662304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37525 (or 37510 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

Adding to 473313662304 its reverse (403266313374), we get a palindrome (876579975678).

The spelling of 473313662304 in words is "four hundred seventy-three billion, three hundred thirteen million, six hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2909 4704 5818 8727 11636 17454 20363 23272 34589 34908 40726 46544 61089 69178 69816 81452 93088 103767 122178 138356 139632 142541 162904 207534 242123 244356 276712 279264 285082 325808 415068 427623 484246 488712 553424 570164 651616 726369 830136 855246 968492 977424 1106848 1140328 1452738 1660272 1694861 1710492 1936984 1954848 2280656 2905476 3320544 3389722 3420984 3873968 4561312 5084583 5810952 6779444 6841968 7747936 10169166 11621904 13558888 13683936 20338332 23243808 27117776 40676664 54235552 81353328 100619401 162706656 201238802 301858203 402477604 603716406 704335807 804955208 1207432812 1408671614 1609910416 2113007421 2414865624 2817343228 3219820832 4226014842 4829731248 4930350649 5634686456 8452029684 9659462496 9860701298 11269372912 14791051947 16904059368 19721402596 22538745824 29582103894 33808118736 39442805192 59164207788 67616237472 78885610384 118328415576 157771220768 236656831152 473313662304