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42530456362464 = 25327167126326087
BaseRepresentation
bin10011010101110011001001…
…01111100101110111100000
312120120212112122000002111200
421222321210233211313200
521033304333312044324
6230242115534041200
711646503233166010
oct1152714457456740
9176525478002450
1042530456362464
1112608079939244
12492a82b949200
131a967b2a58645
14a706b106dc40
154db4ac54eec9
hex26ae64be5de0

42530456362464 has 144 divisors (see below), whose sum is σ = 139051672800768. Its totient is φ = 12078795038976.

The previous prime is 42530456362369. The next prime is 42530456362549. The reversal of 42530456362464 is 46426365403524.

42530456362464 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 0 + 4 + 5 + 6 + 3 + 624 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 42530456362464.

It is a congruent number.

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, 62826372 + ... + 63499715.

It is an arithmetic number, because the mean of its divisors is an integer number (965636616672).

Almost surely, 242530456362464 is an apocalyptic number.

It is an amenable number.

42530456362464 is an abundant number, since it is smaller than the sum of its proper divisors (96521216438304).

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

42530456362464 is a wasteful number, since it uses less digits than its factorization.

42530456362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126326277 (or 126326266 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 42530456362464 in words is "forty-two trillion, five hundred thirty billion, four hundred fifty-six million, three hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 167 168 224 252 288 334 336 501 504 668 672 1002 1008 1169 1336 1503 2004 2016 2338 2672 3006 3507 4008 4676 5344 6012 7014 8016 9352 10521 12024 14028 16032 18704 21042 24048 28056 37408 42084 48096 56112 84168 112224 168336 336672 126326087 252652174 378978261 505304348 757956522 884282609 1010608696 1136934783 1515913044 1768565218 2021217392 2273869566 2652847827 3031826088 3537130436 4042434784 4547739132 5305695654 6063652176 7074260872 7958543481 9095478264 10611391308 12127304352 14148521744 15917086962 18190956528 21096456529 21222782616 28297043488 31834173924 36381913056 42192913058 42445565232 63289369587 63668347848 84385826116 84891130464 126578739174 127336695696 147675195703 168771652232 189868108761 253157478348 254673391392 295350391406 337543304464 379736217522 443025587109 506314956696 590700782812 675086608928 759472435044 886051174218 1012629913392 1181401565624 1329076761327 1518944870088 1772102348436 2025259826784 2362803131248 2658153522654 3037889740176 3544204696872 4725606262496 5316307045308 6075779480352 7088409393744 10632614090616 14176818787488 21265228181232 42530456362464