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221461357660760 = 23577111139907327
BaseRepresentation
bin110010010110101011111101…
…100011100000101001011000
31002001010111110210100110220002
4302112223331203200221120
5213011410330030121020
62103001535421552132
764435024615450010
oct6226537543405130
91061114423313802
10221461357660760
1164623263a06318
1220a08840715648
139675940c7cc09
143c98b03390c40
151a90ab8ab7975
hexc96afd8e0a58

221461357660760 has 64 divisors (see below), whose sum is σ = 577492795883520. Its totient is φ = 74860177230720.

The previous prime is 221461357660757. The next prime is 221461357660789. The reversal of 221461357660760 is 67066753164122.

It is a happy number.

221461357660760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 221461357660696 and 221461357660705.

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, 5569933784 + ... + 5569973543.

It is an arithmetic number, because the mean of its divisors is an integer number (9023324935680).

Almost surely, 2221461357660760 is an apocalyptic number.

221461357660760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221461357660760 is an abundant number, since it is smaller than the sum of its proper divisors (356031438222760).

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

221461357660760 is a wasteful number, since it uses less digits than its factorization.

221461357660760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139907416 (or 11139907412 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 221461357660760 in words is "two hundred twenty-one trillion, four hundred sixty-one billion, three hundred fifty-seven million, six hundred sixty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 19880 11139907327 22279814654 44559629308 55699536635 77979351289 89119258616 111399073270 155958702578 222798146540 311917405156 389896756445 445596293080 623834810312 779793512890 790933420217 1559587025780 1581866840434 3119174051560 3163733680868 3954667101085 5536533941519 6327467361736 7909334202170 11073067883038 15818668404340 22146135766076 27682669707595 31637336808680 44292271532152 55365339415190 110730678830380 221461357660760