Search a number
-
+
13387985910 = 2335135217321
BaseRepresentation
bin11000111011111110…
…00111001111110110
31021120000212011002000
430131333013033312
5204404311022120
610052251000130
7652524000615
oct143577071766
937500764060
1013387985910
115750194a72
122717739046
131354897a70
149100c387c
15535540990
hex31dfc73f6

13387985910 has 128 divisors (see below), whose sum is σ = 38526606720. Its totient is φ = 3288729600.

The previous prime is 13387985893. The next prime is 13387985917. The reversal of 13387985910 is 1958978331.

13387985910 is a `hidden beast` number, since 13 + 38 + 7 + 9 + 8 + 591 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387985917) 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 63 ways as a sum of consecutive naturals, for example, 1825050 + ... + 1832370.

It is an arithmetic number, because the mean of its divisors is an integer number (300989115).

Almost surely, 213387985910 is an apocalyptic number.

13387985910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387985910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19263303360).

13387985910 is an abundant number, since it is smaller than the sum of its proper divisors (25138620810).

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

13387985910 is a wasteful number, since it uses less digits than its factorization.

13387985910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 13387985910 in words is "thirteen billion, three hundred eighty-seven million, nine hundred eighty-five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 521 585 702 1042 1170 1563 1755 2605 3126 3510 4689 5210 6773 7321 7815 9378 13546 14067 14642 15630 20319 21963 23445 28134 33865 36605 40638 43926 46890 60957 65889 67730 70335 73210 95173 101595 109815 121914 131778 140670 182871 190346 197667 203190 219630 285519 304785 329445 365742 395334 475865 571038 609570 658890 856557 914355 951730 988335 1427595 1713114 1828710 1976670 2569671 2855190 3814241 4282785 5139342 7628482 8565570 11442723 12848355 19071205 22885446 25696710 34328169 38142410 49585133 57213615 68656338 99170266 102984507 114427230 148755399 171640845 205969014 247925665 297510798 343281690 446266197 495851330 514922535 743776995 892532394 1029845070 1338798591 1487553990 2231330985 2677597182 4462661970 6693992955 13387985910