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13700028888 = 233271319110051
BaseRepresentation
bin11001100001001010…
…11101100111011000
31022100210000120120100
430300211131213120
5211024201411023
610143235055400
7663333216120
oct146045354730
938323016510
1013700028888
1158a0344527
1227a4141560
1313a4421290
1493d70dc80
15552b2cc43
hex33095d9d8

13700028888 has 192 divisors, whose sum is σ = 48070713600. Its totient is φ = 3422995200.

The previous prime is 13700028851. The next prime is 13700028899. The reversal of 13700028888 is 88882000731.

It is a happy number.

13700028888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69463 + ... + 179513.

It is an arithmetic number, because the mean of its divisors is an integer number (250368300).

Almost surely, 213700028888 is an apocalyptic number.

13700028888 is a gapful number since it is divisible by the number (18) 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 13700028888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035356800).

13700028888 is an abundant number, since it is smaller than the sum of its proper divisors (34370684712).

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

13700028888 is a wasteful number, since it uses less digits than its factorization.

13700028888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110102 (or 110095 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 13700028888 in words is "thirteen billion, seven hundred million, twenty-eight thousand, eight hundred eighty-eight".