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12778945440 = 253526622803
BaseRepresentation
bin10111110011010111…
…10011101110100000
31012222120211200121120
423321223303232200
5202132402223230
65512013052240
7631450146462
oct137153635640
935876750546
1012778945440
115468421938
122587787080
1312886552a1
14893266132
154ebd39310
hex2f9af3ba0

12778945440 has 48 divisors (see below), whose sum is σ = 40253679648. Its totient is φ = 3407718656.

The previous prime is 12778945433. The next prime is 12778945451. The reversal of 12778945440 is 4454987721.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13310922 + ... + 13311881.

It is an arithmetic number, because the mean of its divisors is an integer number (838618326).

Almost surely, 212778945440 is an apocalyptic number.

12778945440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12778945440 is an abundant number, since it is smaller than the sum of its proper divisors (27474734208).

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

12778945440 is a wasteful number, since it uses less digits than its factorization.

12778945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622821 (or 26622813 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 12778945440 in words is "twelve billion, seven hundred seventy-eight million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26622803 53245606 79868409 106491212 133114015 159736818 212982424 266228030 319473636 399342045 425964848 532456060 638947272 798684090 851929696 1064912120 1277894544 1597368180 2129824240 2555789088 3194736360 4259648480 6389472720 12778945440