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13027776060 = 223513118714071
BaseRepresentation
bin11000010001000010…
…00001011000111100
31020121221001121001110
430020201001120330
5203140102313220
65552422242020
7640561161255
oct141041013074
936557047043
1013027776060
115585926a82
122636b86310
1312c8078640
148b8319b2c
15513adbbe0
hex30884163c

13027776060 has 96 divisors (see below), whose sum is σ = 39319644672. Its totient is φ = 3203907840.

The previous prime is 13027776049. The next prime is 13027776079. The reversal of 13027776060 is 6067772031.

It is a super-3 number, since 3×130277760603 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918825 + ... + 932895.

It is an arithmetic number, because the mean of its divisors is an integer number (409579632).

Almost surely, 213027776060 is an apocalyptic number.

13027776060 is a gapful number since it is divisible by the number (10) 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 13027776060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659822336).

13027776060 is an abundant number, since it is smaller than the sum of its proper divisors (26291868612).

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

13027776060 is a wasteful number, since it uses less digits than its factorization.

13027776060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15283 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 13027776060 in words is "thirteen billion, twenty-seven million, seven hundred seventy-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1187 2374 3561 4748 5935 7122 11870 14071 14244 15431 17805 23740 28142 30862 35610 42213 46293 56284 61724 70355 71220 77155 84426 92586 140710 154310 168852 182923 185172 211065 231465 281420 308620 365846 422130 462930 548769 731692 844260 914615 925860 1097538 1829230 2195076 2743845 3658460 5487690 10975380 16702277 33404554 50106831 66809108 83511385 100213662 167022770 200427324 217129601 250534155 334045540 434259202 501068310 651388803 868518404 1002136620 1085648005 1302777606 2171296010 2605555212 3256944015 4342592020 6513888030 13027776060