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13161606640 = 2457131807913
BaseRepresentation
bin11000100000111111…
…00010110111110000
31020222020212220002121
430100133202313300
5203423332403030
610014002524024
7644104545010
oct142037426760
936866786077
1013161606640
115644424966
122673966614
131319a05830
148cbdd5c40
1552072547a
hex3107e2df0

13161606640 has 80 divisors (see below), whose sum is σ = 37662464448. Its totient is φ = 4165429248.

The previous prime is 13161606607. The next prime is 13161606671. The reversal of 13161606640 is 4660616131.

13161606640 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 13161606596 and 13161606605.

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 15 ways as a sum of consecutive naturals, for example, 896677 + ... + 911236.

Almost surely, 213161606640 is an apocalyptic number.

13161606640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13161606640 is an abundant number, since it is smaller than the sum of its proper divisors (24500857808).

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

13161606640 is a wasteful number, since it uses less digits than its factorization.

13161606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807946 (or 1807940 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 13161606640 in words is "thirteen billion, one hundred sixty-one million, six hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1807913 3615826 7231652 9039565 12655391 14463304 18079130 23502869 25310782 28926608 36158260 47005738 50621564 63276955 72316520 94011476 101243128 117514345 126553910 144633040 164520083 188022952 202486256 235028690 253107820 329040166 376045904 470057380 506215640 658080332 822600415 940114760 1012431280 1316160664 1645200830 1880229520 2632321328 3290401660 6580803320 13161606640