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13834831776 = 253314648801
BaseRepresentation
bin11001110001001111…
…01100011110100000
31022201011200021100220
430320213230132200
5211313204104101
610204452243040
7666561062343
oct147047543640
938634607326
1013834831776
11595a446977
122821310480
1313c632bbbc
149535a045a
1555e8a9636
hex3389ec7a0

13834831776 has 48 divisors (see below), whose sum is σ = 37487939328. Its totient is φ = 4462848000.

The previous prime is 13834831771. The next prime is 13834831789. The reversal of 13834831776 is 67713843831.

13834831776 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 (48).

It is not an unprimeable number, because it can be changed into a prime (13834831771) 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 7 ways as a sum of consecutive naturals, for example, 2321425 + ... + 2327376.

It is an arithmetic number, because the mean of its divisors is an integer number (780998736).

Almost surely, 213834831776 is an apocalyptic number.

13834831776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13834831776 is an abundant number, since it is smaller than the sum of its proper divisors (23653107552).

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

13834831776 is a wasteful number, since it uses less digits than its factorization.

13834831776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648845 (or 4648837 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 13834831776 in words is "thirteen billion, eight hundred thirty-four million, eight hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4648801 9297602 13946403 18595204 27892806 37190408 55785612 74380816 111571224 144112831 148761632 223142448 288225662 432338493 446284896 576451324 864676986 1152902648 1729353972 2305805296 3458707944 4611610592 6917415888 13834831776