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3457105481448 = 23322321136726959
BaseRepresentation
bin110010010011101011100…
…010110100111011101000
3110020111101121212200012100
4302103223202310323220
5423120123000401243
611204101120213400
7504524203512153
oct62235342647350
913214347780170
103457105481448
111113171a10543
1247a01576a260
131c1008026648
14bd479362c9a
155edd96d50d3
hex324eb8b4ee8

3457105481448 has 192 divisors, whose sum is σ = 9843497164800. Its totient is φ = 1094011712640.

The previous prime is 3457105481383. The next prime is 3457105481593. The reversal of 3457105481448 is 8441845017543.

It is a happy number.

3457105481448 is a `hidden beast` number, since 3 + 4 + 5 + 71 + 0 + 54 + 81 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3457105481394 and 3457105481403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128222193 + ... + 128249151.

It is an arithmetic number, because the mean of its divisors is an integer number (51268214400).

Almost surely, 23457105481448 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 3457105481448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921748582400).

3457105481448 is an abundant number, since it is smaller than the sum of its proper divisors (6386391683352).

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

3457105481448 is a wasteful number, since it uses less digits than its factorization.

3457105481448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27572 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 3457105481448 in words is "three trillion, four hundred fifty-seven billion, one hundred five million, four hundred eighty-one thousand, four hundred forty-eight".