Search a number
-
+
4543792694064 = 2432137930724553
BaseRepresentation
bin100001000011110111100…
…1001100100001100110000
3121002101022201120202211200
41002013233021210030300
51043421141412202224
613355220050411200
7646164263433411
oct102075711441460
917071281522750
104543792694064
1114a2014579308
1261474ab90b00
1326c6299a5920
14119cc671d808
157d2db54b5c9
hex421ef264330

4543792694064 has 120 divisors (see below), whose sum is σ = 13867834693440. Its totient is φ = 1380392672256.

The previous prime is 4543792693997. The next prime is 4543792694099. The reversal of 4543792694064 is 4604962973454.

4543792694064 is a `hidden beast` number, since 4 + 54 + 37 + 92 + 69 + 406 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4543792693992 and 4543792694010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15214389 + ... + 15510164.

It is an arithmetic number, because the mean of its divisors is an integer number (115565289112).

Almost surely, 24543792694064 is an apocalyptic number.

It is an amenable number.

4543792694064 is an abundant number, since it is smaller than the sum of its proper divisors (9324041999376).

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

4543792694064 is a wasteful number, since it uses less digits than its factorization.

4543792694064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30724659 (or 30724650 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 4543792694064 in words is "four trillion, five hundred forty-three billion, seven hundred ninety-two million, six hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 208 234 237 312 316 468 474 624 632 711 936 948 1027 1264 1422 1872 1896 2054 2844 3081 3792 4108 5688 6162 8216 9243 11376 12324 16432 18486 24648 36972 49296 73944 147888 30724553 61449106 92173659 122898212 184347318 245796424 276520977 368694636 399419189 491592848 553041954 737389272 798838378 1106083908 1198257567 1474778544 1597676756 2212167816 2396515134 2427239687 3195353512 3594772701 4424335632 4793030268 4854479374 6390707024 7189545402 7281719061 9586060536 9708958748 14379090804 14563438122 19172121072 19417917496 21845157183 28758181608 29126876244 31554115931 38835834992 43690314366 57516363216 58253752488 63108231862 87380628732 94662347793 116507504976 126216463724 174761257464 189324695586 252432927448 283987043379 349522514928 378649391172 504865854896 567974086758 757298782344 1135948173516 1514597564688 2271896347032 4543792694064