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2813378406660 = 2232515629880037
BaseRepresentation
bin101000111100001010011…
…010111010100100000100
3100221221211011211001202200
4220330022122322210010
5332043244333003120
65552240451034500
7410155065613113
oct50741232724404
910857734731680
102813378406660
11995168847508
1239530289ba30
131753ba1035b3
149a24d923c7a
154d2b0a6be90
hex28f0a6ba904

2813378406660 has 36 divisors (see below), whose sum is σ = 8533914500748. Its totient is φ = 750234241728.

The previous prime is 2813378406563. The next prime is 2813378406673. The reversal of 2813378406660 is 666048733182.

It can be written as a sum of positive squares in 2 ways, for example, as 1105071898176 + 1708306508484 = 1051224^2 + 1307022^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2813378406597 and 2813378406606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7814939839 + ... + 7814940198.

Almost surely, 22813378406660 is an apocalyptic number.

2813378406660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813378406660 is an abundant number, since it is smaller than the sum of its proper divisors (5720536094088).

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

2813378406660 is a wasteful number, since it uses less digits than its factorization.

2813378406660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15629880052 (or 15629880047 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2813378406660 in words is "two trillion, eight hundred thirteen billion, three hundred seventy-eight million, four hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15629880037 31259760074 46889640111 62519520148 78149400185 93779280222 140668920333 156298800370 187558560444 234448200555 281337840666 312597600740 468896401110 562675681332 703344601665 937792802220 1406689203330 2813378406660