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34453525122 = 235479071663
BaseRepresentation
bin100000000101100101…
…110001001010000010
310021221010101102100000
4200011211301022002
51031030100300442
623454442340430
72326535063052
oct400545611202
9107833342300
1034453525122
1113680131405
1268164ba716
133330c48b73
14194bad7562
15d69ad6d4c
hex805971282

34453525122 has 96 divisors (see below), whose sum is σ = 79195963392. Its totient is φ = 11221012944.

The previous prime is 34453525087. The next prime is 34453525159. The reversal of 34453525122 is 22152535443.

34453525122 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 3 + 525 + 122 = 666.

It is a super-2 number, since 2×344535251222 (a number of 22 digits) contains 22 as substring.

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, 20716863 + ... + 20718525.

It is an arithmetic number, because the mean of its divisors is an integer number (824957952).

Almost surely, 234453525122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34453525122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597981696).

34453525122 is an abundant number, since it is smaller than the sum of its proper divisors (44742438270).

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

34453525122 is a wasteful number, since it uses less digits than its factorization.

34453525122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2622 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 34453525122 in words is "thirty-four billion, four hundred fifty-three million, five hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 846 907 1269 1663 1814 2538 2721 3326 3807 4989 5442 7614 8163 9978 11421 14967 16326 22842 24489 29934 42629 44901 48978 73467 78161 85258 89802 127887 134703 146934 156322 220401 234483 255774 269406 383661 404109 440802 468966 703449 767322 808218 1150983 1406898 1508341 2110347 2301966 3016682 3452949 4220694 4525023 6331041 6905898 9050046 10358847 12662082 13575069 18993123 20717694 27150138 37986246 40725207 70892027 81450414 122175621 141784054 212676081 244351242 366526863 425352162 638028243 733053726 1276056486 1914084729 3828169458 5742254187 11484508374 17226762561 34453525122