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34531233132 = 22311249947659
BaseRepresentation
bin100000001010001110…
…001100110101101100
310022010112121101200110
4200022032030311230
51031204443430012
623510300100020
72331500432034
oct401216146554
9108115541613
1034531233132
111370aa87600
126838534610
133344085c36
1419581648c4
15d7183673c
hex80a38cd6c

34531233132 has 72 divisors (see below), whose sum is σ = 88742920000. Its totient is φ = 10442820960.

The previous prime is 34531233101. The next prime is 34531233151. The reversal of 34531233132 is 23133213543.

It is a self number, because there is not a number n which added to its sum of digits gives 34531233132.

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, 700719 + ... + 748377.

Almost surely, 234531233132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44371460000).

34531233132 is an abundant number, since it is smaller than the sum of its proper divisors (54211686868).

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

34531233132 is a wasteful number, since it uses less digits than its factorization.

34531233132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48187 (or 48174 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

Adding to 34531233132 its reverse (23133213543), we get a palindrome (57664446675).

The spelling of 34531233132 in words is "thirty-four billion, five hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 499 726 998 1452 1497 1996 2994 5489 5988 10978 16467 21956 32934 47659 60379 65868 95318 120758 142977 181137 190636 241516 285954 362274 524249 571908 724548 1048498 1572747 2096996 3145494 5766739 6290988 11533478 17300217 23066956 23781841 34600434 47563682 69200868 71345523 95127364 142691046 261600251 285382092 523200502 784800753 1046401004 1569601506 2877602761 3139203012 5755205522 8632808283 11510411044 17265616566 34531233132