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3480609320560 = 245192309991717
BaseRepresentation
bin110010101001100100011…
…110110110111001110000
3110022202001122111102010001
4302221210132312321300
5424011241441224220
611222545253115344
7506315513035351
oct62514436667160
913282048442101
103480609320560
111122133249769
12482695028b54
131c32b25b3158
14c0668b25d28
1560812d6a80a
hex32a647b6e70

3480609320560 has 80 divisors (see below), whose sum is σ = 8522031117600. Its totient is φ = 1318395184128.

The previous prime is 3480609320429. The next prime is 3480609320611. The reversal of 3480609320560 is 650239060843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34806093205602 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480609320560.

It is a congruent number.

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, 3013822 + ... + 4005538.

It is an arithmetic number, because the mean of its divisors is an integer number (106525388970).

Almost surely, 23480609320560 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 3480609320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261015558800).

3480609320560 is an abundant number, since it is smaller than the sum of its proper divisors (5041421797040).

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

3480609320560 is a wasteful number, since it uses less digits than its factorization.

3480609320560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994058 (or 994052 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 3480609320560 in words is "three trillion, four hundred eighty billion, six hundred nine million, three hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2309 4618 9236 11545 18472 23090 36944 43871 46180 87742 92360 175484 184720 219355 350968 438710 701936 877420 991717 1754840 1983434 3509680 3966868 4958585 7933736 9917170 15867472 18842623 19834340 37685246 39668680 75370492 79337360 94213115 150740984 188426230 301481968 376852460 753704920 1507409840 2289874553 4579749106 9159498212 11449372765 18318996424 22898745530 36637992848 43507616507 45797491060 87015233014 91594982120 174030466028 183189964240 217538082535 348060932056 435076165070 696121864112 870152330140 1740304660280 3480609320560