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2678122201360 = 245171969207501
BaseRepresentation
bin100110111110001100100…
…001011100000100010000
3100111000200221101220222111
4212332030201130010100
5322334243240420420
65410151245115104
7364326236053054
oct46761441340420
910430627356874
102678122201360
11942870189561
12373055858a94
13165713297218
149389c343c64
15499e654445a
hex26f8c85c110

2678122201360 has 40 divisors (see below), whose sum is σ = 6592906716696. Its totient is φ = 1008234240000.

The previous prime is 2678122201327. The next prime is 2678122201361. The reversal of 2678122201360 is 631022218762.

It can be written as a sum of positive squares in 4 ways, for example, as 278745985296 + 2399376216064 = 527964^2 + 1548992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2678122201361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984602391 + ... + 984605110.

Almost surely, 22678122201360 is an apocalyptic number.

2678122201360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678122201360 is an abundant number, since it is smaller than the sum of its proper divisors (3914784515336).

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

2678122201360 is a wasteful number, since it uses less digits than its factorization.

2678122201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969207531 (or 1969207525 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 2678122201360 in words is "two trillion, six hundred seventy-eight billion, one hundred twenty-two million, two hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1969207501 3938415002 7876830004 9846037505 15753660008 19692075010 31507320016 33476527517 39384150020 66953055034 78768300040 133906110068 157536600080 167382637585 267812220136 334765275170 535624440272 669530550340 1339061100680 2678122201360