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69405394656 = 2531319721433
BaseRepresentation
bin100000010100011100…
…0100100011011100000
320122010222111100200110
41000220320210123200
52114120240112111
651515010251320
75004634056243
oct1005070443340
9218128440613
1069405394656
11274865992a4
121154b886b40
1367111ba380
143505a7525a
151c1330b5a6
hex1028e246e0

69405394656 has 144 divisors (see below), whose sum is σ = 197342342064. Its totient is φ = 21232275456.

The previous prime is 69405394637. The next prime is 69405394661. The reversal of 69405394656 is 65649350496.

It is a super-2 number, since 2×694053946562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 69405394596 and 69405394605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48432916 + ... + 48434348.

It is an arithmetic number, because the mean of its divisors is an integer number (1370432931).

Almost surely, 269405394656 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 69405394656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98671171032).

69405394656 is an abundant number, since it is smaller than the sum of its proper divisors (127936947408).

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

69405394656 is a wasteful number, since it uses less digits than its factorization.

69405394656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 57.

The spelling of 69405394656 in words is "sixty-nine billion, four hundred five million, three hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 197 208 312 394 416 591 624 788 1182 1248 1433 1576 2364 2561 2866 3152 4299 4728 5122 5732 6304 7683 8598 9456 10244 11464 15366 17196 18629 18912 20488 22928 30732 34392 37258 38809 40976 45856 55887 61464 68784 74516 77618 81952 111774 116427 122928 137568 149032 155236 223548 232854 245856 282301 298064 310472 447096 465708 504517 564602 596128 620944 846903 894192 931416 1009034 1129204 1241888 1513551 1693806 1788384 1862832 2018068 2258408 3027102 3387612 3669913 3725664 4036136 4516816 6054204 6775224 7339826 8072272 9033632 11009739 12108408 13550448 14679652 16144544 22019478 24216816 27100896 29359304 44038956 48433632 55613297 58718608 88077912 111226594 117437216 166839891 176155824 222453188 333679782 352311648 444906376 667359564 722972861 889812752 1334719128 1445945722 1779625504 2168918583 2669438256 2891891444 4337837166 5338876512 5783782888 8675674332 11567565776 17351348664 23135131552 34702697328 69405394656