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13083252269112 = 2334158316997507
BaseRepresentation
bin1011111001100010111010…
…0110101010000000111000
31201022202011100022222210000
42332120232212222000320
53203324000040102422
643454210233353000
72520143121251214
oct276305646520070
951282140288700
1013083252269112
11419463790a793
121573756868760
1373b98c82cc0c
14333338ab3944
1517a4d342acac
hexbe62e9aa038

13083252269112 has 160 divisors (see below), whose sum is σ = 36694839456000. Its totient is φ = 4355183681856.

The previous prime is 13083252269089. The next prime is 13083252269119. The reversal of 13083252269112 is 21196225238031.

13083252269112 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 3 + 2 + 522 + 6 + 9 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13083252269119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1742803263 + ... + 1742810769.

It is an arithmetic number, because the mean of its divisors is an integer number (229342746600).

Almost surely, 213083252269112 is an apocalyptic number.

13083252269112 is a gapful number since it is divisible by the number (12) 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 13083252269112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347419728000).

13083252269112 is an abundant number, since it is smaller than the sum of its proper divisors (23611587186888).

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

13083252269112 is a wasteful number, since it uses less digits than its factorization.

13083252269112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13083252269112 in words is "thirteen trillion, eighty-three billion, two hundred fifty-two million, two hundred sixty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1583 1699 3166 3398 4749 5097 6332 6796 7507 9498 10194 12664 13592 14247 15014 15291 18996 20388 22521 28494 30028 30582 37992 40776 42741 45042 45873 56988 60056 61164 67563 85482 90084 91746 113976 122328 128223 135126 137619 170964 180168 183492 202689 256446 270252 275238 341928 366984 405378 512892 540504 550476 608067 810756 1025784 1100952 1216134 1621512 2432268 2689517 4864536 5379034 8068551 10758068 11883581 12754393 16137102 21516136 23767162 24205653 25508786 32274204 35650743 38263179 47534324 48411306 51017572 64548408 71301486 72616959 76526358 95068648 96822612 102035144 106952229 114789537 142602972 145233918 153052716 193645224 213904458 217850877 229579074 285205944 290467836 306105432 320856687 344368611 427808916 435701754 459158148 580935672 641713374 688737222 855617832 871403508 918316296 962570061 1033105833 1283426748 1377474444 1742807016 1925140122 2066211666 2566853496 2754948888 3850280244 4132423332 7700560488 8264846664 20190204119 40380408238 60570612357 80760816476 121141224714 161521632952 181711837071 242282449428 363423674142 484564898856 545135511213 726847348284 1090271022426 1453694696568 1635406533639 2180542044852 3270813067278 4361084089704 6541626134556 13083252269112