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13646741043 = 313231237757
BaseRepresentation
bin11001011010110100…
…01011111000110011
31022020001202021101110
430231122023320303
5210422031203133
610134053004403
7662115246015
oct145532137063
938201667343
1013646741043
115873258591
12278a323703
131396384500
149365dc1b5
1554d103c63
hex32d68be33

13646741043 has 72 divisors (see below), whose sum is σ = 20936936304. Its totient is φ = 7896994560.

The previous prime is 13646741039. The next prime is 13646741131. The reversal of 13646741043 is 34014764631.

It is not a de Polignac number, because 13646741043 - 22 = 13646741039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13646740992 and 13646741010.

It is not an unprimeable number, because it can be changed into a prime (13646741743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18027021 + ... + 18027777.

It is an arithmetic number, because the mean of its divisors is an integer number (290790782).

Almost surely, 213646741043 is an apocalyptic number.

13646741043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13646741043 is a deficient number, since it is larger than the sum of its proper divisors (7290195261).

13646741043 is a wasteful number, since it uses less digits than its factorization.

13646741043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13646741043 in words is "thirteen billion, six hundred forty-six million, seven hundred forty-one thousand, forty-three".

Divisors: 1 3 13 31 37 39 93 111 169 403 481 507 757 961 1147 1209 1443 2271 2883 3441 5239 6253 9841 12493 14911 15717 18759 23467 28009 29523 35557 37479 44733 70401 84027 106671 127933 162409 193843 305071 364117 383799 462241 487227 581529 727477 868279 915213 1092351 1386723 2182431 2604837 3965923 4733521 6009133 9457201 11287627 11897769 14200563 18027399 26916649 28371603 33862881 80749947 122943613 146739151 349916437 368830839 440217453 1049749311 4548913681 13646741043