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1513306579681 = 13236171782007
BaseRepresentation
bin10110000001011000000…
…110011110001011100001
312100200002221022102110001
4112001120012132023201
5144243222441022211
63115111535540001
7214222101455341
oct26013006361341
95320087272401
101513306579681
11533876126686
1220535738a601
13ac92017abb0
145335c9dcd21
15295706a9ac1
hex1605819e2e1

1513306579681 has 16 divisors (see below), whose sum is σ = 1700620233984. Its totient is φ = 1336125726144.

The previous prime is 1513306579663. The next prime is 1513306579777. The reversal of 1513306579681 is 1869756033151.

It is a cyclic number.

It is not a de Polignac number, because 1513306579681 - 211 = 1513306577633 is a prime.

It is a super-2 number, since 2×15133065796812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1513306579601) 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 15 ways as a sum of consecutive naturals, for example, 18412380 + ... + 18494386.

It is an arithmetic number, because the mean of its divisors is an integer number (106288764624).

Almost surely, 21513306579681 is an apocalyptic number.

It is an amenable number.

1513306579681 is a deficient number, since it is larger than the sum of its proper divisors (187313654303).

1513306579681 is a wasteful number, since it uses less digits than its factorization.

1513306579681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143760.

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 1513306579681 in words is "one trillion, five hundred thirteen billion, three hundred six million, five hundred seventy-nine thousand, six hundred eighty-one".

Divisors: 1 13 23 299 61717 82007 802321 1066091 1419491 1886161 18453383 24520093 5061226019 65795938247 116408198437 1513306579681