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34894906812 = 223383246901
BaseRepresentation
bin100000011111111001…
…100000010110111100
310100001212220221012000
4200133321200112330
51032431044004222
624010330542300
72343504546123
oct403771402674
9110055827160
1034894906812
11138872a0a67
12691a297990
1333a1518b6c
141990590aba
15d937219ac
hex81fe605bc

34894906812 has 72 divisors (see below), whose sum is σ = 91573340880. Its totient is φ = 11491250400.

The previous prime is 34894906807. The next prime is 34894906873. The reversal of 34894906812 is 21860949843.

34894906812 is a `hidden beast` number, since 3 + 4 + 89 + 490 + 68 + 12 = 666.

34894906812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 720562 + ... + 767462.

Almost surely, 234894906812 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 34894906812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45786670440).

34894906812 is an abundant number, since it is smaller than the sum of its proper divisors (56678434068).

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

34894906812 is a wasteful number, since it uses less digits than its factorization.

34894906812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47080 (or 46989 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34894906812 in words is "thirty-four billion, eight hundred ninety-four million, nine hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 6889 8964 13778 20667 27556 41334 46901 62001 82668 93802 124002 140703 186003 187604 248004 281406 372006 422109 562812 744012 844218 1266327 1688436 2532654 3892783 5065308 7785566 11678349 15571132 23356698 35035047 46713396 70070094 105105141 140140188 210210282 323100989 420420564 646201978 969302967 1292403956 1938605934 2907908901 3877211868 5815817802 8723726703 11631635604 17447453406 34894906812