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13487286360 = 23352915712467
BaseRepresentation
bin11001000111110011…
…11010100001011000
31021210221201010200110
430203321322201120
5210110221130420
610110155204320
7655141020402
oct144371724130
937727633613
1013487286360
1157a1248959
122744a466a0
13136c325022
1491d371b72
1553e107ee0
hex323e7a858

13487286360 has 128 divisors (see below), whose sum is σ = 41900716800. Its totient is φ = 3468971520.

The previous prime is 13487286347. The next prime is 13487286383. The reversal of 13487286360 is 6368278431.

13487286360 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-5 number, since 5×134872863605 (a number of 52 digits) contains 55555 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5465847 + ... + 5468313.

It is an arithmetic number, because the mean of its divisors is an integer number (327349350).

Almost surely, 213487286360 is an apocalyptic number.

13487286360 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 13487286360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20950358400).

13487286360 is an abundant number, since it is smaller than the sum of its proper divisors (28413430440).

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

13487286360 is a wasteful number, since it uses less digits than its factorization.

13487286360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 13487286360 in words is "thirteen billion, four hundred eighty-seven million, two hundred eighty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1571 1740 2467 3142 3480 4713 4934 6284 7401 7855 9426 9868 12335 12568 14802 15710 18852 19736 23565 24670 29604 31420 37005 37704 45559 47130 49340 59208 62840 71543 74010 91118 94260 98680 136677 143086 148020 182236 188520 214629 227795 273354 286172 296040 357715 364472 429258 455590 546708 572344 683385 715430 858516 911180 1073145 1093416 1366770 1430860 1717032 1822360 2146290 2733540 2861720 3875657 4292580 5467080 7751314 8585160 11626971 15502628 19378285 23253942 31005256 38756570 46507884 58134855 77513140 93015768 112394053 116269710 155026280 224788106 232539420 337182159 449576212 465078840 561970265 674364318 899152424 1123940530 1348728636 1685910795 2247881060 2697457272 3371821590 4495762120 6743643180 13487286360