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261022404646344 = 2331119216647240197
BaseRepresentation
bin111011010110011000000011…
…101101010001010111001000
31021020012111110011201221221010
4323112120003231101113020
5233203042341042140334
62323052012015443520
7105660150342464025
oct7326300355212710
91236174404657833
10261022404646344
1176195a866457a0
1225337a832265a0
13b2853cba35293
1448657a219854c
152029bd22b70e9
hexed6603b515c8

261022404646344 has 128 divisors (see below), whose sum is σ = 749353194777600. Its totient is φ = 74934003767040.

The previous prime is 261022404646343. The next prime is 261022404646351. The reversal of 261022404646344 is 443646404220162.

It is a junction number, because it is equal to n+sod(n) for n = 261022404646293 and 261022404646302.

It is not an unprimeable number, because it can be changed into a prime (261022404646343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086581254 + ... + 1086821450.

It is an arithmetic number, because the mean of its divisors is an integer number (5854321834200).

Almost surely, 2261022404646344 is an apocalyptic number.

261022404646344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261022404646344 is an abundant number, since it is smaller than the sum of its proper divisors (488330790131256).

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

261022404646344 is a wasteful number, since it uses less digits than its factorization.

261022404646344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456883 (or 456879 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 261022404646344 in words is "two hundred sixty-one trillion, twenty-two billion, four hundred four million, six hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 216647 240197 433294 480394 649941 720591 866588 960788 1299882 1441182 1733176 1921576 2383117 2599764 2642167 2882364 4116293 4563743 4766234 5199528 5284334 5764728 7149351 7926501 8232586 9127486 9532468 10568668 12348879 13691229 14298702 15853002 16465172 18254972 19064936 21137336 24697758 27382458 28597404 31706004 32930344 36509944 45279223 49395516 50201173 54764916 57194808 63412008 90558446 98791032 100402346 109529832 135837669 150603519 181116892 200804692 271675338 301207038 362233784 401609384 543350676 602414076 1086701352 1204828152 52037959459 104075918918 156113878377 208151837836 312227756754 416303675672 572417554049 624455513508 988721229721 1144835108098 1248911027016 1717252662147 1977442459442 2289670216196 2966163689163 3434505324294 3954884918884 4579340432392 5932327378326 6869010648588 7909769837768 10875933526931 11864654756652 13738021297176 21751867053862 23729309513304 32627800580793 43503734107724 65255601161586 87007468215448 130511202323172 261022404646344