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42006808228284 = 223221132018327361
BaseRepresentation
bin10011000110100011110001…
…11000011111000110111100
312111201210220200122200201200
421203101320320133012330
521001214420401301114
6225201354501135500
711563614603403614
oct1143217070370674
9174653820580650
1042006808228284
1112425a951475a9
12486524b0ba590
131a592c049ba83
14a531d7245a44
154cca60782409
hex263478e1f1bc

42006808228284 has 72 divisors (see below), whose sum is σ = 106243275439392. Its totient is φ = 13994437754880.

The previous prime is 42006808228249. The next prime is 42006808228289. The reversal of 42006808228284 is 48282280860024.

42006808228284 is a `hidden beast` number, since 4 + 200 + 6 + 8 + 0 + 82 + 282 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42006808228284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42006808228289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1535266764 + ... + 1535294124.

Almost surely, 242006808228284 is an apocalyptic number.

It is an amenable number.

42006808228284 is an abundant number, since it is smaller than the sum of its proper divisors (64236467211108).

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

42006808228284 is a wasteful number, since it uses less digits than its factorization.

42006808228284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49667 (or 49662 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 42006808228284 in words is "forty-two trillion, six billion, eight hundred eight million, two hundred twenty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2113 4226 6339 8452 12678 19017 20183 25356 27361 38034 40366 54722 60549 76068 80732 82083 109444 121098 164166 181647 242196 246249 328332 363294 492498 726588 984996 42646679 57813793 85293358 115627586 127940037 170586716 173441379 231255172 255880074 346882758 383820111 511760148 520324137 552227063 693765516 767640222 1040648274 1104454126 1535280444 1656681189 2081296548 2208908252 3313362378 4970043567 6626724756 9940087134 19880174268 1166855784119 2333711568238 3500567352357 4667423136476 7001134704714 10501702057071 14002269409428 21003404114142 42006808228284