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1364156864 = 26722318913
BaseRepresentation
bin101000101001111…
…0110000111000000
310112001220100102022
41101103312013000
510243211004424
6343210341012
745543066500
oct12123660700
93461810368
101364156864
11640038274
12320a2a768
1318980c015
14cd261a00
157eb6495e
hex514f61c0

1364156864 has 84 divisors (see below), whose sum is σ = 3286042704. Its totient is φ = 559190016.

The previous prime is 1364156863. The next prime is 1364156869. The reversal of 1364156864 is 4686514631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364156863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62672 + ... + 81584.

It is an arithmetic number, because the mean of its divisors is an integer number (39119556).

Almost surely, 21364156864 is an apocalyptic number.

1364156864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643021352).

1364156864 is an abundant number, since it is smaller than the sum of its proper divisors (1921885840).

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

1364156864 is a wasteful number, since it uses less digits than its factorization.

1364156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18962 (or 18945 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 1364156864 is about 36934.4942296493. The cubic root of 1364156864 is about 1109.0593074445.

The spelling of 1364156864 in words is "one billion, three hundred sixty-four million, one hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 448 644 736 784 1127 1288 1472 1568 2254 2576 3136 4508 5152 9016 10304 18032 18913 36064 37826 72128 75652 132391 151304 264782 302608 434999 529564 605216 869998 926737 1059128 1210432 1739996 1853474 2118256 3044993 3479992 3706948 4236512 6089986 6959984 7413896 8473024 12179972 13919968 14827792 21314951 24359944 27839936 29655584 42629902 48719888 59311168 85259804 97439776 170519608 194879552 341039216 682078432 1364156864