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13055011280 = 2451789107857
BaseRepresentation
bin11000010100010001…
…11010100111010000
31020200211022021202022
430022020322213100
5203214040330110
65555234111012
7641341523243
oct141210724720
936624267668
1013055011280
11559a239223
12264411b468
1313008c305c
148bbba925a
155161bb755
hex30a23a9d0

13055011280 has 80 divisors (see below), whose sum is σ = 32499772560. Its totient is φ = 4859559936.

The previous prime is 13055011279. The next prime is 13055011313. The reversal of 13055011280 is 8211055031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 472453696 + 12582557584 = 21736^2 + 112172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67112 + ... + 174968.

It is an arithmetic number, because the mean of its divisors is an integer number (406247157).

Almost surely, 213055011280 is an apocalyptic number.

13055011280 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 13055011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249886280).

13055011280 is an abundant number, since it is smaller than the sum of its proper divisors (19444761280).

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

13055011280 is a wasteful number, since it uses less digits than its factorization.

13055011280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107976 (or 107970 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 13055011280 in words is "thirteen billion, fifty-five million, eleven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 340 356 445 680 712 890 1360 1424 1513 1780 3026 3560 6052 7120 7565 12104 15130 24208 30260 60520 107857 121040 215714 431428 539285 862856 1078570 1725712 1833569 2157140 3667138 4314280 7334276 8628560 9167845 9599273 14668552 18335690 19198546 29337104 36671380 38397092 47996365 73342760 76794184 95992730 146685520 153588368 163187641 191985460 326375282 383970920 652750564 767941840 815938205 1305501128 1631876410 2611002256 3263752820 6527505640 13055011280