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3480672105417 = 313831075277141
BaseRepresentation
bin110010101001101000001…
…110010111001111001001
3110022202020000122012202010
4302221220032113033021
5424011404024333132
611222555414530133
7506320204511523
oct62515016271711
913282200565663
103480672105417
111122165731981
124826b2066949
131c32c25c6860
14c06731caa13
156081861d6cc
hex32a683973c9

3480672105417 has 16 divisors (see below), whose sum is σ = 5058103675968. Its totient is φ = 2116145411520.

The previous prime is 3480672105403. The next prime is 3480672105437. The reversal of 3480672105417 is 7145012760843.

3480672105417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3480672105417 - 27 = 3480672105289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3480672105437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537635334 + ... + 537641807.

It is an arithmetic number, because the mean of its divisors is an integer number (316131479748).

Almost surely, 23480672105417 is an apocalyptic number.

It is an amenable number.

3480672105417 is a deficient number, since it is larger than the sum of its proper divisors (1577431570551).

3480672105417 is a wasteful number, since it uses less digits than its factorization.

3480672105417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075277240.

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 3480672105417 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, one hundred five thousand, four hundred seventeen".

Divisors: 1 3 13 39 83 249 1079 3237 1075277141 3225831423 13978602833 41935808499 89248002703 267744008109 1160224035139 3480672105417