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12791086352359 = 7231971993535741
BaseRepresentation
bin1011101000100010100000…
…1010001000011111100111
31200021211000210121121221021
42322020220022020133213
53134032121101233414
643112051032032011
72460061021034440
oct272105012103747
950254023547837
1012791086352359
11409173a868157
121526bb8b32607
1371a26aa61833
143231401aa2c7
15172ad38e1c24
hexba2282887e7

12791086352359 has 64 divisors (see below), whose sum is σ = 15454781337600. Its totient is φ = 10350223994880.

The previous prime is 12791086352357. The next prime is 12791086352389. The reversal of 12791086352359 is 95325368019721.

It is not a de Polignac number, because 12791086352359 - 21 = 12791086352357 is a prime.

It is a super-2 number, since 2×127910863523592 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12791086352297 and 12791086352306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791086352357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2228021229 + ... + 2228026969.

It is an arithmetic number, because the mean of its divisors is an integer number (241480958400).

Almost surely, 212791086352359 is an apocalyptic number.

12791086352359 is the 2261954-th heptagonal number.

12791086352359 is a deficient number, since it is larger than the sum of its proper divisors (2663694985241).

12791086352359 is a wasteful number, since it uses less digits than its factorization.

12791086352359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520.

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 12791086352359 in words is "twelve trillion, seven hundred ninety-one billion, eighty-six million, three hundred fifty-two thousand, three hundred fifty-nine".

Divisors: 1 7 23 161 197 199 353 1379 1393 2471 4531 4577 5741 8119 31717 32039 39203 40187 56833 69541 70247 132043 274421 486787 491729 901669 924301 1130977 1142459 1599443 1615681 2026573 6311683 7916839 7997213 11196101 11309767 13838659 14186011 26012471 26276557 46611179 96870613 182087297 183935899 225064423 318289157 326278253 399234881 403288027 1575450961 2228024099 2794644167 2823016189 5176481729 9182402263 9275624621 36235372103 64276815841 64929372347 79447741319 556134189233 1827298050337 12791086352359