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34225660062 = 23211281617997
BaseRepresentation
bin11111111000000000…
…100010000010011110
310021100020121200020100
4133320000202002132
51030043232110222
623420102401530
72321100211326
oct377000420236
9107306550210
1034225660062
1113573546a80
1267721302a6
1332c5986579
141929740286
15d54ac64ac
hex7f802209e

34225660062 has 96 divisors (see below), whose sum is σ = 81398045664. Its totient is φ = 10307404800.

The previous prime is 34225660039. The next prime is 34225660087. The reversal of 34225660062 is 26006652243.

34225660062 is a `hidden beast` number, since 3 + 42 + 2 + 5 + 6 + 600 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34225659999 and 34225660026.

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, 34328148 + ... + 34329144.

It is an arithmetic number, because the mean of its divisors is an integer number (847896309).

Almost surely, 234225660062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34225660062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40699022832).

34225660062 is an abundant number, since it is smaller than the sum of its proper divisors (47172385602).

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

34225660062 is a wasteful number, since it uses less digits than its factorization.

34225660062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34225660062 in words is "thirty-four billion, two hundred twenty-five million, six hundred sixty thousand, sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 617 843 997 1234 1686 1851 1994 2529 2991 3091 3702 5058 5553 5982 6182 6787 8973 9273 10967 11106 13574 17946 18546 20361 21934 27819 32901 40722 55638 61083 65802 98703 122166 173377 197406 280157 346754 520131 560314 615149 840471 1040262 1230298 1560393 1680942 1845447 1907147 2521413 3081727 3120786 3690894 3814294 5042826 5536341 5721441 6163454 6766639 9245181 11072682 11442882 13533278 17164323 18490362 20299917 27735543 34328646 40599834 55471086 60899751 121799502 172856869 345713738 518570607 1037141214 1555711821 1901425559 3111423642 3802851118 5704276677 11408553354 17112830031 34225660062