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14680583696 = 2429311020619
BaseRepresentation
bin11011010110000011…
…11110111000010000
31101220010002220220002
431223001332320100
5220031212134241
610424423505132
71026540621362
oct155301767020
941803086802
1014680583696
1162538968a9
122a185b81a8
1314cc61071c
149d3a38d32
155adc6c89b
hex36b07ee10

14680583696 has 40 divisors (see below), whose sum is σ = 30373651200. Its totient is φ = 6858552960.

The previous prime is 14680583693. The next prime is 14680583707. The reversal of 14680583696 is 69638508641.

It is a happy number.

14680583696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×146805836964 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14680583693) 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, 495926 + ... + 524693.

It is an arithmetic number, because the mean of its divisors is an integer number (759341280).

Almost surely, 214680583696 is an apocalyptic number.

14680583696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14680583696 is an abundant number, since it is smaller than the sum of its proper divisors (15693067504).

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

14680583696 is a wasteful number, since it uses less digits than its factorization.

14680583696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020687 (or 1020681 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 14680583696 in words is "fourteen billion, six hundred eighty million, five hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 1020619 2041238 4082476 8164952 16329904 29597951 31639189 59195902 63278378 118391804 126556756 236783608 253113512 473567216 506227024 917536481 1835072962 3670145924 7340291848 14680583696