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61367666676316 = 227111315326590079
BaseRepresentation
bin11011111010000010001011…
…11110010001001001011100
322001021200200012112021201021
431331001011332101021130
531020421440132120231
6334303530013453524
715632444663034610
oct1575010576211134
9261250605467637
1061367666676316
111860a976a94790
126a7156b4a12a4
132831c3b87b370
1411222d4a73340
157164a9333811
hex37d045f9125c

61367666676316 has 48 divisors (see below), whose sum is σ = 144192559472640. Its totient is φ = 22070289712320.

The previous prime is 61367666676313. The next prime is 61367666676341.

61367666676316 is nontrivially palindromic in base 10.

61367666676316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×613676666763163 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61367666676311) by changing a digit.

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, 7663291036 + ... + 7663299043.

It is an arithmetic number, because the mean of its divisors is an integer number (3004011655680).

Almost surely, 261367666676316 is an apocalyptic number.

It is an amenable number.

61367666676316 is an abundant number, since it is smaller than the sum of its proper divisors (82824892796324).

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

61367666676316 is a wasteful number, since it uses less digits than its factorization.

61367666676316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326590114 (or 15326590112 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 70.

The spelling of 61367666676316 in words is "sixty-one trillion, three hundred sixty-seven billion, six hundred sixty-six million, six hundred seventy-six thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 15326590079 30653180158 61306360316 107286130553 168592490869 199245671027 214572261106 337184981738 398491342054 429144522212 674369963476 796982684108 1180147436083 1394719697189 2191702381297 2360294872166 2789439394378 4383404762594 4720589744332 5578878788756 8766809525188 15341916669079 30683833338158 61367666676316