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34485111848 = 23114719343201
BaseRepresentation
bin100000000111011110…
…010000110000101000
310022000022211012011202
4200013132100300220
51031111142034343
623501531343332
72330400420455
oct400736206050
9108008735152
1034485111848
1113696a45a40
126824bb1b48
133337658135
141951d9a82c
15d6c775db8
hex807790c28

34485111848 has 64 divisors (see below), whose sum is σ = 72413464320. Its totient is φ = 15261696000.

The previous prime is 34485111827. The next prime is 34485111907. The reversal of 34485111848 is 84811158443.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776648 + ... + 819848.

It is an arithmetic number, because the mean of its divisors is an integer number (1131460380).

Almost surely, 234485111848 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 34485111848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36206732160).

34485111848 is an abundant number, since it is smaller than the sum of its proper divisors (37928352472).

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

34485111848 is a wasteful number, since it uses less digits than its factorization.

34485111848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43458 (or 43454 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The spelling of 34485111848 in words is "thirty-four billion, four hundred eighty-five million, one hundred eleven thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 193 376 386 517 772 1034 1544 2068 2123 4136 4246 8492 9071 16984 18142 36284 43201 72568 86402 99781 172804 199562 345608 399124 475211 798248 950422 1900844 2030447 3801688 4060894 8121788 8337793 16243576 16675586 22334917 33351172 44669834 66702344 89339668 91715723 178679336 183431446 366862892 391876271 733725784 783752542 1567505084 3135010168 4310638981 8621277962 17242555924 34485111848