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13011830589528 = 23331729122190581
BaseRepresentation
bin1011110101011000110110…
…0010100100100001011000
31201001220210211211202011000
42331112031202210201120
53201141212112331103
643401315155105000
72512034202063141
oct275261542444130
951056724752130
1013011830589528
114167317171811
1215619438a2160
137350199b6054
1432dac1344ac8
151787030e1aa3
hexbd58d8a4858

13011830589528 has 128 divisors (see below), whose sum is σ = 39589748568000. Its totient is φ = 3941379348480.

The previous prime is 13011830589493. The next prime is 13011830589547. The reversal of 13011830589528 is 82598503811031.

13011830589528 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 8 + 3 + 0 + 589 + 52 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60988803 + ... + 61201778.

Almost surely, 213011830589528 is an apocalyptic number.

13011830589528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13011830589528 is an abundant number, since it is smaller than the sum of its proper divisors (26577917978472).

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

13011830589528 is a wasteful number, since it uses less digits than its factorization.

13011830589528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122190642 (or 122190632 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 13011830589528 in words is "thirteen trillion, eleven billion, eight hundred thirty million, five hundred eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 108 116 136 153 174 204 216 232 261 306 348 408 459 493 522 612 696 783 918 986 1044 1224 1479 1566 1836 1972 2088 2958 3132 3672 3944 4437 5916 6264 8874 11832 13311 17748 26622 35496 53244 106488 122190581 244381162 366571743 488762324 733143486 977524648 1099715229 1466286972 2077239877 2199430458 2932573944 3299145687 3543526849 4154479754 4398860916 6231719631 6598291374 7087053698 8308959508 8797721832 10630580547 12463439262 13196582748 14174107396 16617919016 18695158893 21261161094 24926878524 26393165496 28348214792 31891741641 37390317786 42522322188 49853757048 56085476679 60239956433 63783483282 74780635572 85044644376 95675224923 112170953358 120479912866 127566966564 149561271144 180719869299 191350449846 224341906716 240959825732 255133933128 361439738598 382700899692 448683813432 481919651464 542159607897 722879477196 765401799384 1084319215794 1445758954392 1626478823691 2168638431588 3252957647382 4337276863176 6505915294764 13011830589528