Search a number
-
+
5268689476344 = 2333714923386463
BaseRepresentation
bin100110010101011011001…
…0111010101101011111000
3200122200102000202202022000
41030222312113111223320
51142310234001220334
615112222540301000
71052436015425130
oct114526627255370
920580360682260
105268689476344
111751490944a28
12711135541760
132c2ab2179aa8
141430123bdac0
15920b61d8299
hex4cab65d5af8

5268689476344 has 128 divisors (see below), whose sum is σ = 16838254080000. Its totient is φ = 1495236834432.

The previous prime is 5268689476327. The next prime is 5268689476357. The reversal of 5268689476344 is 4436749868625.

5268689476344 is a `hidden beast` number, since 5 + 2 + 68 + 68 + 9 + 476 + 34 + 4 = 666.

It is a super-3 number, since 3×52686894763443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 11467944 + ... + 11918519.

It is an arithmetic number, because the mean of its divisors is an integer number (131548860000).

Almost surely, 25268689476344 is an apocalyptic number.

5268689476344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5268689476344 is an abundant number, since it is smaller than the sum of its proper divisors (11569564603656).

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

5268689476344 is a wasteful number, since it uses less digits than its factorization.

5268689476344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23386634 (or 23386624 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 5268689476344 in words is "five trillion, two hundred sixty-eight billion, six hundred eighty-nine million, four hundred seventy-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 596 756 894 1043 1192 1341 1512 1788 2086 2682 3129 3576 4023 4172 5364 6258 8046 8344 9387 10728 12516 16092 18774 25032 28161 32184 37548 56322 75096 112644 225288 23386463 46772926 70159389 93545852 140318778 163705241 187091704 210478167 280637556 327410482 420956334 491115723 561275112 631434501 654820964 841912668 982231446 1262869002 1309641928 1473347169 1683825336 1964462892 2525738004 2946694338 3484582987 3928925784 4420041507 5051476008 5893388676 6969165974 8840083014 10453748961 11786777352 13938331948 17680166028 20907497922 24392080909 27876663896 31361246883 35360332056 41814995844 48784161818 62722493766 73176242727 83629991688 94083740649 97568323636 125444987532 146352485454 188167481298 195136647272 219528728181 250889975064 292704970908 376334962596 439057456362 585409941816 658586184543 752669925192 878114912724 1317172369086 1756229825448 2634344738172 5268689476344