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13060462480 = 2451317217297
BaseRepresentation
bin11000010100111011…
…01101011110010000
31020201012120020101121
430022131231132100
5203221434244410
65555551012024
7641436046042
oct141235553620
936635506347
1013060462480
1155a232184a
122645b0a014
131301a81310
148bc7c7a92
155168e69da
hex30a76d790

13060462480 has 80 divisors (see below), whose sum is σ = 32724874224. Its totient is φ = 4818862080.

The previous prime is 13060462469. The next prime is 13060462529. The reversal of 13060462480 is 8426406031.

13060462480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 640697344 + 12419765136 = 25312^2 + 111444^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1786192 + ... + 1793488.

Almost surely, 213060462480 is an apocalyptic number.

13060462480 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 13060462480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362437112).

13060462480 is an abundant number, since it is smaller than the sum of its proper divisors (19664411744).

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

13060462480 is a wasteful number, since it uses less digits than its factorization.

13060462480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 13060462480 in words is "thirteen billion, sixty million, four hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1721 3442 6884 7297 8605 13768 14594 17210 22373 27536 29188 34420 36485 44746 58376 68840 72970 89492 94861 111865 116752 137680 145940 178984 189722 223730 291880 357968 379444 447460 474305 583760 758888 894920 948610 1517776 1789840 1897220 3794440 7588880 12558137 25116274 50232548 62790685 100465096 125581370 163255781 200930192 251162740 326511562 502325480 653023124 816278905 1004650960 1306046248 1632557810 2612092496 3265115620 6530231240 13060462480