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6838232510256 = 2437192029527921
BaseRepresentation
bin110001110000010011001…
…1010110110111100110000
3220012201200011220001021020
41203200212122312330300
51344014200010312011
622313235102455440
71304021530201530
oct143404632667460
926181604801236
106838232510256
1121a7094a85a64
12925366294580
133a7ac51423b4
14198d87aad4c0
15bcd289cb006
hex638266b6f30

6838232510256 has 160 divisors (see below), whose sum is σ = 21262164134400. Its totient is φ = 1850034401280.

The previous prime is 6838232510231. The next prime is 6838232510299. The reversal of 6838232510256 is 6520152328386.

It is a super-2 number, since 2×68382325102562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6838232510199 and 6838232510208.

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, 12689176 + ... + 13217096.

It is an arithmetic number, because the mean of its divisors is an integer number (132888525840).

Almost surely, 26838232510256 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 6838232510256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631082067200).

6838232510256 is an abundant number, since it is smaller than the sum of its proper divisors (14423931624144).

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

6838232510256 is a wasteful number, since it uses less digits than its factorization.

6838232510256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529987 (or 529981 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 6838232510256 in words is "six trillion, eight hundred thirty-eight billion, two hundred thirty-two million, five hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2029 2128 3192 4058 6087 6384 8116 12174 14203 16232 24348 28406 32464 38551 42609 48696 56812 77102 85218 97392 113624 115653 154204 170436 227248 231306 269857 308408 340872 462612 527921 539714 616816 681744 809571 925224 1055842 1079428 1583763 1619142 1850448 2111684 2158856 3167526 3238284 3695447 4223368 4317712 6335052 6476568 7390894 8446736 10030499 11086341 12670104 12953136 14781788 20060998 22172682 25340208 29563576 30091497 40121996 44345364 59127152 60182994 70213493 80243992 88690728 120365988 140426986 160487984 177381456 210640479 240731976 280853972 421280958 481463952 561707944 842561916 1071151709 1123415888 1685123832 2142303418 3213455127 3370247664 4284606836 6426910254 7498061963 8569213672 12853820508 14996123926 17138427344 20351882471 22494185889 25707641016 29992247852 40703764942 44988371778 51415282032 59984495704 61055647413 81407529884 89976743556 119968991408 122111294826 142463177297 162815059768 179953487112 244222589652 284926354594 325630119536 359906974224 427389531891 488445179304 569852709188 854779063782 976890358608 1139705418376 1709558127564 2279410836752 3419116255128 6838232510256