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34849575552 = 273118250373
BaseRepresentation
bin100000011101001100…
…100101001010000000
310022221201121212101110
4200131030211022000
51032332442404202
624002031203320
72342414335041
oct403514451200
9108851555343
1034849575552
1113863749a10
126907076540
13339500682c
1419885508c8
15d8e76a26c
hex81d325280

34849575552 has 64 divisors (see below), whose sum is σ = 100984577760. Its totient is φ = 10560476160.

The previous prime is 34849575521. The next prime is 34849575559. The reversal of 34849575552 is 25557594843.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×348495755522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34849575492 and 34849575501.

It is not an unprimeable number, because it can be changed into a prime (34849575559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4120963 + ... + 4129410.

Almost surely, 234849575552 is an apocalyptic number.

34849575552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34849575552 is an abundant number, since it is smaller than the sum of its proper divisors (66135002208).

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

34849575552 is a wasteful number, since it uses less digits than its factorization.

34849575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250401 (or 8250389 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 57.

The spelling of 34849575552 in words is "thirty-four billion, eight hundred forty-nine million, five hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 8250373 16500746 24751119 33001492 49502238 66002984 90754103 99004476 132005968 181508206 198008952 264011936 272262309 363016412 396017904 528023872 544524618 726032824 792035808 1056047744 1089049236 1452065648 1584071616 2178098472 2904131296 3168143232 4356196944 5808262592 8712393888 11616525184 17424787776 34849575552