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13457386060976 = 24111313734283849
BaseRepresentation
bin1100001111010100101010…
…1101110011110010110000
31202122111212101001211210002
43003311022231303302300
53230441211312422401
644342123211125132
72556156400102544
oct303651255636260
952574771054702
1013457386060976
114319277664070
12161416b4437a8
13768045340250
143474ab84ba24
151850ce09ca6b
hexc3d4ab73cb0

13457386060976 has 80 divisors (see below), whose sum is σ = 30654339559200. Its totient is φ = 5642341877760.

The previous prime is 13457386060961. The next prime is 13457386060999. The reversal of 13457386060976 is 67906068375431.

It is a super-2 number, since 2×134573860609762 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999500 + ... + 5283348.

It is an arithmetic number, because the mean of its divisors is an integer number (383179244490).

Almost surely, 213457386060976 is an apocalyptic number.

13457386060976 is a gapful number since it is divisible by the number (16) 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 13457386060976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327169779600).

13457386060976 is an abundant number, since it is smaller than the sum of its proper divisors (17196953498224).

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

13457386060976 is a wasteful number, since it uses less digits than its factorization.

13457386060976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285254 (or 4285248 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 65.

The spelling of 13457386060976 in words is "thirteen trillion, four hundred fifty-seven billion, three hundred eighty-six million, sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1373 2288 2746 5492 10984 15103 17849 21968 30206 35698 60412 71396 120824 142792 196339 241648 285584 392678 785356 1570712 3141424 4283849 8567698 17135396 34270792 47122339 55690037 68541584 94244678 111380074 188489356 222760148 376978712 445520296 612590407 753957424 891040592 1225180814 2450361628 4900723256 5881724677 9801446512 11763449354 23526898708 47053797416 64698971447 76462420801 94107594832 129397942894 152924841602 258795885788 305849683204 517591771576 611699366408 841086628811 1035183543152 1223398732816 1682173257622 3364346515244 6728693030488 13457386060976