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217913840057364 = 223111650862424677
BaseRepresentation
bin110001100011000100000101…
…000001110011110000010100
31001120120100201012010010112120
4301203010011001303300110
5212030300021023313424
62051244123000015540
763620520046401333
oct6143040501636024
91046510635103476
10217913840057364
116348581678a440
12205351b41615b0
13947925793a379
143bb512c4d1d1a
151a2d68bc9aa79
hexc63105073c14

217913840057364 has 24 divisors (see below), whose sum is σ = 554689774691808. Its totient is φ = 66034496987040.

The previous prime is 217913840057363. The next prime is 217913840057371. The reversal of 217913840057364 is 463750048319712.

It is a junction number, because it is equal to n+sod(n) for n = 217913840057298 and 217913840057307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217913840057363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825431212207 + ... + 825431212470.

It is an arithmetic number, because the mean of its divisors is an integer number (23112073945492).

It is a 1-persistent number, because it is pandigital, but 2⋅217913840057364 = 435827680114728 is not.

Almost surely, 2217913840057364 is an apocalyptic number.

It is an amenable number.

217913840057364 is an abundant number, since it is smaller than the sum of its proper divisors (336775934634444).

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

217913840057364 is a wasteful number, since it uses less digits than its factorization.

217913840057364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650862424695 (or 1650862424693 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 217913840057364 in words is "two hundred seventeen trillion, nine hundred thirteen billion, eight hundred forty million, fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1650862424677 3301724849354 4952587274031 6603449698708 9905174548062 18159486671447 19810349096124 36318973342894 54478460014341 72637946685788 108956920028682 217913840057364