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3480672254136 = 2337112519118237
BaseRepresentation
bin110010101001101000001…
…110111011100010111000
3110022202020000220202202020
4302221220032323202320
5424011404044113021
611222555422034440
7506320206001230
oct62515016734270
913282200822666
103480672254136
111122165823690
124826b2118a20
131c32c264945c
14c0673228cc0
156081864c7c6
hex32a683bb8b8

3480672254136 has 256 divisors, whose sum is σ = 10905351045120. Its totient is φ = 899371200000.

The previous prime is 3480672254131. The next prime is 3480672254149. The reversal of 3480672254136 is 6314522760843.

3480672254136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480672254131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422561410 + ... + 422569646.

It is an arithmetic number, because the mean of its divisors is an integer number (42599027520).

Almost surely, 23480672254136 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 3480672254136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452675522560).

3480672254136 is an abundant number, since it is smaller than the sum of its proper divisors (7424678790984).

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

3480672254136 is a wasteful number, since it uses less digits than its factorization.

3480672254136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 3480672254136 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, two hundred fifty-four thousand, one hundred thirty-six".