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522142838896 = 24727911237507
BaseRepresentation
bin1111001100100100010…
…00110111000001110000
31211220202000212110211211
413212102020313001300
532023322031321041
61035511421045504
752503120621100
oct7462210670160
91756660773754
10522142838896
11191492025058
12852406b6894
133a312762303
141b3b3d47200
15d8aea79481
hex7992237070

522142838896 has 120 divisors (see below), whose sum is σ = 1192935909120. Its totient is φ = 220716752256.

The previous prime is 522142838837. The next prime is 522142838909. The reversal of 522142838896 is 698838241225.

It is a self number, because there is not a number n which added to its sum of digits gives 522142838896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69550375 + ... + 69557881.

It is an arithmetic number, because the mean of its divisors is an integer number (9941132576).

Almost surely, 2522142838896 is an apocalyptic number.

522142838896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522142838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596467954560).

522142838896 is an abundant number, since it is smaller than the sum of its proper divisors (670793070224).

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

522142838896 is a wasteful number, since it uses less digits than its factorization.

522142838896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8718 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 522142838896 in words is "five hundred twenty-two billion, one hundred forty-two million, eight hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 632 784 1106 1123 1264 2212 2246 3871 4424 4492 7507 7742 7861 8848 8984 15014 15484 15722 17968 30028 30968 31444 52549 55027 60056 61936 62888 88717 105098 110054 120112 125776 177434 210196 220108 354868 367843 420392 440216 593053 621019 709736 735686 840784 880432 1186106 1242038 1419472 1471372 2372212 2484076 2942744 4151371 4347133 4744424 4968152 5885488 8302742 8430361 8694266 9488848 9936304 16605484 16860722 17388532 29059597 33210968 33721444 34777064 58119194 59012527 66421936 67442888 69554128 116238388 118025054 134885776 232476776 236050108 413087689 464953552 472100216 665998519 826175378 944200432 1331997038 1652350756 2663994076 3304701512 4661989633 5327988152 6609403024 9323979266 10655976304 18647958532 32633927431 37295917064 65267854862 74591834128 130535709724 261071419448 522142838896