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13540546412133 = 31314914091653767
BaseRepresentation
bin1100010100001010011101…
…1101010111111001100101
31202221110111221221101112220
43011002213131113321211
53233322014340142013
644444235142102553
72565162235321116
oct305024735277145
952843457841486
1013540546412133
1143505714a2804
1216282b971aa59
13772b39140b20
1434b51a21020d
15187349c36b23
hexc50a7757e65

13540546412133 has 32 divisors (see below), whose sum is σ = 19587228192000. Its totient is φ = 8270840979456.

The previous prime is 13540546412059. The next prime is 13540546412137. The reversal of 13540546412133 is 33121464504531.

It is not a de Polignac number, because 13540546412133 - 29 = 13540546411621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540546412137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7360816 + ... + 9014582.

It is an arithmetic number, because the mean of its divisors is an integer number (612100881000).

Almost surely, 213540546412133 is an apocalyptic number.

13540546412133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13540546412133 is a deficient number, since it is larger than the sum of its proper divisors (6046681779867).

13540546412133 is a wasteful number, since it uses less digits than its factorization.

13540546412133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655341.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 13540546412133 in words is "thirteen trillion, five hundred forty billion, five hundred forty-six million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 13 39 149 447 1409 1937 4227 5811 18317 54951 209941 629823 1653767 2729233 4961301 8187699 21498971 64496913 246411283 739233849 2330157703 3203346679 6990473109 9610040037 30292050139 90876150417 347193497747 1041580493241 4513515470711 13540546412133