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34808199480 = 233257910091213
BaseRepresentation
bin100000011010101110…
…101111100100111000
310022211211202202002100
4200122232233210320
51032241344340410
623553552303400
72341402546065
oct403256574470
9108754682070
1034808199480
111384235950a
1268b5241b60
13338957a852
141982c5dc6c
15d8ace58c0
hex81abaf938

34808199480 has 192 divisors, whose sum is σ = 114766704000. Its totient is φ = 9148059648.

The previous prime is 34808199467. The next prime is 34808199487. The reversal of 34808199480 is 8499180843.

34808199480 is a `hidden beast` number, since 3 + 4 + 80 + 81 + 9 + 9 + 480 = 666.

34808199480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×348081994802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34808199487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28695354 + ... + 28696566.

It is an arithmetic number, because the mean of its divisors is an integer number (597743250).

Almost surely, 234808199480 is an apocalyptic number.

34808199480 is a gapful number since it is divisible by the number (30) 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 34808199480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57383352000).

34808199480 is an abundant number, since it is smaller than the sum of its proper divisors (79958504520).

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

34808199480 is a wasteful number, since it uses less digits than its factorization.

34808199480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 348081 and 99480, that added together give a square (447561 = 6692).

The spelling of 34808199480 in words is "thirty-four billion, eight hundred eight million, one hundred ninety-nine thousand, four hundred eighty".