Search a number
-
+
82634324476284 = 2232717191015213579
BaseRepresentation
bin10010110010011111001101…
…100011101000000101111100
3101211120202122011002222200200
4102302133031203220011330
541312340044031220114
6451425403512323500
723256063410530020
oct2262371543500574
9354522564088620
1082634324476284
112436a024992599
1293271040a3590
1337154ca328089
1416597461cc380
15984795d79409
hex4b27cd8e817c

82634324476284 has 144 divisors (see below), whose sum is σ = 266067175046400. Its totient is φ = 21051468753408.

The previous prime is 82634324476241. The next prime is 82634324476309. The reversal of 82634324476284 is 48267442343628.

82634324476284 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 43 + 244 + 76 + 284 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507525394 + ... + 507688185.

It is an arithmetic number, because the mean of its divisors is an integer number (1847688715600).

Almost surely, 282634324476284 is an apocalyptic number.

82634324476284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82634324476284 is an abundant number, since it is smaller than the sum of its proper divisors (183432850570116).

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

82634324476284 is a wasteful number, since it uses less digits than its factorization.

82634324476284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015213632 (or 1015213627 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 63.

The spelling of 82634324476284 in words is "eighty-two trillion, six hundred thirty-four billion, three hundred twenty-four million, four hundred seventy-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2907 3876 4284 4522 4788 5814 6783 9044 11628 13566 20349 27132 40698 81396 1015213579 2030427158 3045640737 4060854316 6091281474 7106495053 9136922211 12182562948 14212990106 17258630843 18273844422 19289058001 21319485159 28425980212 34517261686 36547688844 38578116002 42638970318 51775892529 57867174003 63958455477 69034523372 77156232004 85277940636 103551785058 115734348006 120810415901 127916910954 135023406007 155327677587 173601522009 207103570116 231468696012 241620831802 255833821908 270046812014 310655355174 327913986017 347203044018 362431247703 405070218021 483241663604 540093624028 621310710348 655827972034 694406088036 724862495406 810140436042 983741958051 1087293743109 1215210654063 1311655944068 1449724990812 1620280872084 1967483916102 2174587486218 2295397902119 2430421308126 2951225874153 3934967832204 4349174972436 4590795804238 4860842616252 5902451748306 6886193706357 9181591608476 11804903496612 13772387412714 20658581119071 27544774825428 41317162238142 82634324476284