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13313927759728 = 24232910112599811
BaseRepresentation
bin1100000110111110001111…
…1011110100011101110000
31202010210120111222001120111
43001233203323310131300
53221113411001302403
644152200045551104
72542620353465401
oct301574373643560
952123514861514
1013313927759728
114273450144022
1215b03b3575494
1375766215176b
1434057cbd79a8
151814d495956d
hexc1be3ef4770

13313927759728 has 160 divisors (see below), whose sum is σ = 28146373516800. Its totient is φ = 6081634944000.

The previous prime is 13313927759711. The next prime is 13313927759729. The reversal of 13313927759728 is 82795772931331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313927759729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357035943 + ... + 1357045753.

It is an arithmetic number, because the mean of its divisors is an integer number (175914834480).

Almost surely, 213313927759728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313927759728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073186758400).

13313927759728 is an abundant number, since it is smaller than the sum of its proper divisors (14832445757072).

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

13313927759728 is a wasteful number, since it uses less digits than its factorization.

13313927759728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231 (or 11225 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 67.

The spelling of 13313927759728 in words is "thirteen trillion, three hundred thirteen billion, nine hundred twenty-seven million, seven hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 29 46 58 92 101 116 184 202 232 368 404 464 667 808 1259 1334 1616 2323 2518 2668 2929 4646 5036 5336 5858 9292 9811 10072 10672 11716 18584 19622 20144 23432 28957 36511 37168 39244 46864 57914 67367 73022 78488 115828 127159 134734 146044 156976 225653 231656 254318 269468 284519 292088 451306 463312 508636 538936 569038 584176 839753 902612 990911 1017272 1077872 1138076 1679506 1805224 1981822 2034544 2276152 2924657 3359012 3610448 3687611 3963644 4552304 5849314 6543937 6718024 7375222 7927288 11698628 12352049 13087874 13436048 14750444 15854576 22790953 23397256 24704098 26175748 28736419 29500888 45581906 46794512 49408196 52351496 57472838 59001776 84815053 91163812 98816392 104702992 114945676 169630106 182327624 197632784 229891352 284097127 339260212 358209421 364655248 459782704 568194254 660937637 678520424 716418842 1136388508 1247556949 1321875274 1357040848 1432837684 2272777016 2495113898 2643750548 2865675368 4545554032 4990227796 5287501096 5731350736 8238816683 9980455592 10575002192 16477633366 19960911184 28693809827 32955266732 36179151521 57387619654 65910533464 72358303042 114775239308 131821066928 144716606084 229550478616 289433212168 459100957232 578866424336 832120484983 1664240969966 3328481939932 6656963879864 13313927759728