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1364318016 = 2637879029
BaseRepresentation
bin101000101010001…
…1101011101000000
310112002012112110220
41101110131131000
510243231134031
6343214023040
745544340355
oct12124353500
93462175426
101364318016
11640138356
12320aa7a80
13189867489
14cd2a462c
157eb97596
hex5151d740

1364318016 has 56 divisors (see below), whose sum is σ = 3614745120. Its totient is φ = 454144512.

The previous prime is 1364318003. The next prime is 1364318027. The reversal of 1364318016 is 6108134631.

It is a super-2 number, since 2×13643180162 = 3722727297564352512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146590 + ... + 155618.

It is an arithmetic number, because the mean of its divisors is an integer number (64549020).

Almost surely, 21364318016 is an apocalyptic number.

1364318016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1364318016 is an abundant number, since it is smaller than the sum of its proper divisors (2250427104).

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

1364318016 is an equidigital number, since it uses as much as digits as its factorization.

1364318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1364318016 is about 36936.6757573012. The cubic root of 1364318016 is about 1109.1029779081.

The spelling of 1364318016 in words is "one billion, three hundred sixty-four million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 787 1574 2361 3148 4722 6296 9029 9444 12592 18058 18888 25184 27087 36116 37776 50368 54174 72232 75552 108348 144464 151104 216696 288928 433392 577856 866784 1733568 7105823 14211646 21317469 28423292 42634938 56846584 85269876 113693168 170539752 227386336 341079504 454772672 682159008 1364318016