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8474543904 = 25331297947
BaseRepresentation
bin1111110010001111…
…10100011100100000
3210212121100102202110
413321013310130200
5114323440401104
63520530515320
7420002302041
oct77107643440
923777312673
108474543904
1136597282a2
121786135b40
13a50954528
145a57148c8
15348ed5e89
hex1f91f4720

8474543904 has 144 divisors (see below), whose sum is σ = 23247925344. Its totient is φ = 2702684160.

The previous prime is 8474543851. The next prime is 8474543941. The reversal of 8474543904 is 4093454748.

It is a super-2 number, since 2×84745439042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8948359 + ... + 8949305.

It is an arithmetic number, because the mean of its divisors is an integer number (161443926).

Almost surely, 28474543904 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 8474543904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623962672).

8474543904 is an abundant number, since it is smaller than the sum of its proper divisors (14773381440).

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

8474543904 is a wasteful number, since it uses less digits than its factorization.

8474543904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 8474543904 is about 92057.2859908438. The cubic root of 8474543904 is about 2038.7881999558.

The spelling of 8474543904 in words is "eight billion, four hundred seventy-four million, five hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 186 194 248 291 372 388 496 582 744 776 947 961 992 1164 1488 1552 1894 1922 2328 2841 2883 2976 3007 3104 3788 3844 4656 5682 5766 6014 7576 7688 9021 9312 11364 11532 12028 15152 15376 18042 22728 23064 24056 29357 30304 30752 36084 45456 46128 48112 58714 72168 88071 90912 91859 92256 93217 96224 117428 144336 176142 183718 186434 234856 275577 279651 288672 352284 367436 372868 469712 551154 559302 704568 734872 745736 910067 939424 1102308 1118604 1409136 1469744 1491472 1820134 2204616 2237208 2730201 2818272 2847629 2939488 2982944 3640268 4409232 4474416 5460402 5695258 7280536 8542887 8818464 8948832 10920804 11390516 14561072 17085774 21841608 22781032 29122144 34171548 43683216 45562064 68343096 87366432 88276499 91124128 136686192 176552998 264829497 273372384 353105996 529658994 706211992 1059317988 1412423984 2118635976 2824847968 4237271952 8474543904