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34812852660 = 22325193404737
BaseRepresentation
bin100000011011000000…
…011111100110110100
310022212011112011001100
4200123000133212310
51032244042241120
623554240130100
72341460236155
oct403300374664
9108764464040
1034812852660
1113844a47513
1268b6906930
13338a519801
14198371192c
15d8b414490
hex81b01f9b4

34812852660 has 36 divisors (see below), whose sum is σ = 105598986948. Its totient is φ = 9283427328.

The previous prime is 34812852631. The next prime is 34812852661. The reversal of 34812852660 is 6625821843.

34812852660 is a `hidden beast` number, since 3 + 48 + 1 + 28 + 526 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27262632996 + 7550219664 = 165114^2 + 86892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34812852661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96702189 + ... + 96702548.

It is an arithmetic number, because the mean of its divisors is an integer number (2933305193).

Almost surely, 234812852660 is an apocalyptic number.

34812852660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34812852660 is an abundant number, since it is smaller than the sum of its proper divisors (70786134288).

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

34812852660 is a wasteful number, since it uses less digits than its factorization.

34812852660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193404752 (or 193404747 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34812852660 in words is "thirty-four billion, eight hundred twelve million, eight hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193404737 386809474 580214211 773618948 967023685 1160428422 1740642633 1934047370 2320856844 2901071055 3481285266 3868094740 5802142110 6962570532 8703213165 11604284220 17406426330 34812852660