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18892042557904 = 24294353160111159
BaseRepresentation
bin1000100101110101001010…
…11111000101100111010000
32110220001122221001210111101
410102322211133011213100
54434011400343323104
6104102515020554144
73656622266114455
oct422724537054720
973801587053441
1018892042557904
11602408556701a
1221514a29b2954
13a70686a46559
1449454600782c
1522b65a9e45a4
hex112ea57c59d0

18892042557904 has 160 divisors (see below), whose sum is σ = 39505366137600. Its totient is φ = 8733875404800.

The previous prime is 18892042557889. The next prime is 18892042557911. The reversal of 18892042557904 is 40975524029881.

It is a super-2 number, since 2×188920425579042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1692981477 + ... + 1692992635.

It is an arithmetic number, because the mean of its divisors is an integer number (246908538360).

Almost surely, 218892042557904 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 18892042557904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752683068800).

18892042557904 is an abundant number, since it is smaller than the sum of its proper divisors (20613323579696).

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

18892042557904 is a wasteful number, since it uses less digits than its factorization.

18892042557904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 64.

The spelling of 18892042557904 in words is "eighteen trillion, eight hundred ninety-two billion, forty-two million, five hundred fifty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 43 53 58 86 106 116 172 212 232 344 424 464 688 848 1247 1537 1601 2279 2494 3074 3202 4558 4988 6148 6404 9116 9976 11159 12296 12808 18232 19952 22318 24592 25616 36464 44636 46429 66091 68843 84853 89272 92858 132182 137686 169706 178544 185716 264364 275372 323611 339412 371432 479837 528728 550744 591427 647222 678824 742864 959674 1057456 1101488 1182854 1294444 1357648 1919348 1996447 2365708 2460737 2588888 3648679 3838696 3992894 4731416 4921474 5177776 7297358 7677392 7985788 9462832 9842948 13915273 14594716 15971576 17151383 17865559 19685896 25431361 27830546 29189432 31943152 34302766 35731118 39371792 50862722 55661092 58378864 68605532 71462236 101725444 105811691 111322184 137211064 142924472 203450888 211623382 222644368 274422128 285848944 406901776 423246764 518101211 737509469 768219037 846493528 946874627 1036202422 1475018938 1536438074 1692987056 1893749254 2072404844 2950037876 3072876148 3787498508 4144809688 5900075752 6145752296 7574997016 8289619376 11800151504 12291504592 15149994032 22278352073 27459364183 40715608961 44556704146 54918728366 81431217922 89113408292 109837456732 162862435844 178226816584 219674913464 325724871688 356453633168 439349826928 651449743376 1180752659869 2361505319738 4723010639476 9446021278952 18892042557904