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34897976096 = 2519122946703
BaseRepresentation
bin100000100000000101…
…001101101100100000
310100002002200212110012
4200200011031230200
51032432340213341
624010520424052
72343542621354
oct404005155440
9110062625405
1034897976096
1113888aa7a65
12691b318028
1333a2051bc9
141990b4d464
15d93b2b0eb
hex82014db20

34897976096 has 48 divisors (see below), whose sum is σ = 72381859200. Its totient is φ = 16516816128.

The previous prime is 34897976093. The next prime is 34897976101. The reversal of 34897976096 is 69067979843.

It is not an unprimeable number, because it can be changed into a prime (34897976093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723881 + ... + 770583.

It is an arithmetic number, because the mean of its divisors is an integer number (1507955400).

Almost surely, 234897976096 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 34897976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36190929600).

34897976096 is an abundant number, since it is smaller than the sum of its proper divisors (37483883104).

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

34897976096 is a wasteful number, since it uses less digits than its factorization.

34897976096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47961 (or 47953 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 68.

The spelling of 34897976096 in words is "thirty-four billion, eight hundred ninety-seven million, nine hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1229 2458 4916 9832 19664 23351 39328 46702 46703 93404 93406 186808 186812 373616 373624 747232 747248 887357 1494496 1774714 3549428 7098856 14197712 28395424 57397987 114795974 229591948 459183896 918367792 1090561753 1836735584 2181123506 4362247012 8724494024 17448988048 34897976096