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10834347852 = 22323173132989
BaseRepresentation
bin10100001011100011…
…10000011101001100
31000222001201220012200
422011301300131030
5134142043112402
64551025401500
7532325302656
oct120561603514
930861656180
1010834347852
11465a785999
122124499290
131038808323
1474acad6d6
1543626c21c
hex285c7074c

10834347852 has 72 divisors (see below), whose sum is σ = 28657749120. Its totient is φ = 3447048960.

The previous prime is 10834347817. The next prime is 10834347859. The reversal of 10834347852 is 25874343801.

10834347852 is a `hidden beast` number, since 10 + 83 + 43 + 478 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10834347798 and 10834347807.

It is not an unprimeable number, because it can be changed into a prime (10834347859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14974 + ... + 147962.

Almost surely, 210834347852 is an apocalyptic number.

10834347852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834347852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328874560).

10834347852 is an abundant number, since it is smaller than the sum of its proper divisors (17823401268).

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

10834347852 is a wasteful number, since it uses less digits than its factorization.

10834347852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133103 (or 133098 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10834347852 in words is "ten billion, eight hundred thirty-four million, three hundred forty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 9052 13578 20367 27156 40734 81468 132989 265978 398967 531956 797934 1196901 1595868 2393802 4122659 4787604 8245318 9708197 12367977 16490636 19416394 24735954 29124591 37103931 38832788 49471908 58249182 74207862 87373773 116498364 148415724 174747546 300954107 349495092 601908214 902862321 1203816428 1805724642 2708586963 3611449284 5417173926 10834347852