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13366415000 = 23542673283
BaseRepresentation
bin11000111001011001…
…10100111010011000
31021111112021020100102
430130230310322120
5204333300240000
610050200354532
7652142436641
oct143454647230
937445236312
1013366415000
115739aa1474
122710475a48
131350284603
1490b2aa6c8
155336ce3d5
hex31cb34e98

13366415000 has 40 divisors (see below), whose sum is σ = 31317522060. Its totient is φ = 5346564000.

The previous prime is 13366414981. The next prime is 13366415003. The reversal of 13366415000 is 51466331.

It is a happy number.

13366415000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×133664150002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13366415003) 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 9 ways as a sum of consecutive naturals, for example, 1331642 + ... + 1341641.

Almost surely, 213366415000 is an apocalyptic number.

13366415000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13366415000 is an abundant number, since it is smaller than the sum of its proper divisors (17951107060).

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

13366415000 is an equidigital number, since it uses as much as digits as its factorization.

13366415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673309 (or 2673290 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 13366415000 in words is "thirteen billion, three hundred sixty-six million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2673283 5346566 10693132 13366415 21386264 26732830 53465660 66832075 106931320 133664150 267328300 334160375 534656600 668320750 1336641500 1670801875 2673283000 3341603750 6683207500 13366415000