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3421618795720 = 235834657221303
BaseRepresentation
bin110001110010101000010…
…111110111010011001000
3110010002210111102020221201
4301302220113313103020
5422024433402430340
611135511525313544
7502126621614046
oct61625027672310
913102714366851
103421618795720
1110aa1116772a4
124731712658b4
131ba87102cb58
14bb870369396
155e00e06b79a
hex31ca85f74c8

3421618795720 has 64 divisors (see below), whose sum is σ = 7793105281920. Its totient is φ = 1351861330944.

The previous prime is 3421618795657. The next prime is 3421618795733. The reversal of 3421618795720 is 275978161243.

3421618795720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15350589 + ... + 15571891.

It is an arithmetic number, because the mean of its divisors is an integer number (121767270030).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3421618795720 = 6843237591440, but 3⋅3421618795720 = 10264856387160 is not.

Almost surely, 23421618795720 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 3421618795720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896552640960).

3421618795720 is an abundant number, since it is smaller than the sum of its proper divisors (4371486486200).

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

3421618795720 is a wasteful number, since it uses less digits than its factorization.

3421618795720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226054 (or 226050 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 3421618795720 in words is "three trillion, four hundred twenty-one billion, six hundred eighteen million, seven hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 4657 9314 18628 23285 37256 46570 93140 186280 221303 386531 442606 773062 885212 1106515 1546124 1770424 1932655 2213030 3092248 3865310 4426060 7730620 8852120 15461240 18368149 36736298 73472596 91840745 146945192 183681490 367362980 734725960 1030608071 2061216142 4122432284 5153040355 8244864568 10306080710 20612161420 41224322840 85540469893 171080939786 342161879572 427702349465 684323759144 855404698930 1710809397860 3421618795720