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13124111490 = 23257219156631
BaseRepresentation
bin11000011100100001…
…00000110010000010
31020212122022221102100
430032100200302002
5203334233031430
610010143131230
7643141051500
oct141620406202
936778287370
1013124111490
115625245236
1226632a3b16
131312008159
148c7035670
1551c2ba960
hex30e420c82

13124111490 has 144 divisors (see below), whose sum is σ = 41783152320. Its totient is φ = 2841894720.

The previous prime is 13124111479. The next prime is 13124111513. The reversal of 13124111490 is 9411142131.

13124111490 is a `hidden beast` number, since 131 + 2 + 41 + 1 + 1 + 490 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5475 + ... + 162105.

It is an arithmetic number, because the mean of its divisors is an integer number (290160780).

Almost surely, 213124111490 is an apocalyptic number.

13124111490 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 13124111490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891576160).

13124111490 is an abundant number, since it is smaller than the sum of its proper divisors (28659040830).

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

13124111490 is a wasteful number, since it uses less digits than its factorization.

13124111490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156677 (or 156667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 13124111490 in words is "thirteen billion, one hundred twenty-four million, one hundred eleven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2793 3990 4410 4655 5586 5985 8379 9310 11970 13965 16758 27930 41895 83790 156631 313262 469893 783155 939786 1096417 1409679 1566310 2192834 2349465 2819358 2975989 3289251 4698930 5482085 5951978 6578502 7048395 7674919 8927967 9867753 10964170 14096790 14879945 15349838 16446255 17855934 19735506 20831923 23024757 26783901 29759890 32892510 38374595 41663846 44639835 46049514 49338765 53567802 62495769 69074271 76749190 89279670 98677530 104159615 115123785 124991538 133919505 138148542 145823461 187487307 208319230 230247570 267839010 291646922 312478845 345371355 374974614 437470383 624957690 690742710 729117305 874940766 937436535 1312411149 1458234610 1874873070 2187351915 2624822298 4374703830 6562055745 13124111490