Search a number
-
+
68332833823386 = 231137223169773943
BaseRepresentation
bin11111000100101111110100…
…10010010101101010011010
322221221112222200022222211110
433202113322102111222122
532424031120424322021
6401155400454241150
720251612215656046
oct1742277222255232
9287845880288743
1068332833823386
111a855879295070
1277b743b9561b6
132c189b27a68c2
1412c3480a6d026
157d77619bc476
hex3e25fa495a9a

68332833823386 has 128 divisors (see below), whose sum is σ = 153898622631936. Its totient is φ = 20044836218880.

The previous prime is 68332833823381. The next prime is 68332833823399.

68332833823386 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (68332833823381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924091531 + ... + 924165473.

It is an arithmetic number, because the mean of its divisors is an integer number (1202332989312).

Almost surely, 268332833823386 is an apocalyptic number.

68332833823386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68332833823386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76949311315968).

68332833823386 is an abundant number, since it is smaller than the sum of its proper divisors (85565788808550).

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

68332833823386 is a wasteful number, since it uses less digits than its factorization.

68332833823386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75916.

The product of its digits is 429981696, while the sum is 66.

The spelling of 68332833823386 in words is "sixty-eight trillion, three hundred thirty-two billion, eight hundred thirty-three million, eight hundred twenty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 223 407 446 669 814 1221 1338 1697 2442 2453 3394 4906 5091 7359 8251 10182 14718 16502 18667 24753 37334 49506 56001 62789 73943 90761 112002 125578 147886 181522 188367 221829 272283 376734 378431 443658 544566 690679 756862 813373 1135293 1381358 1626746 2072037 2270586 2440119 2735891 4144074 4162741 4880238 5471782 8207673 8325482 12488223 14001947 16415346 16489289 24976446 28003894 30094801 32978578 42005841 49467867 60189602 84011682 90284403 98935734 125481271 154021417 180568806 181382179 250962542 308042834 362764358 376443813 462064251 544146537 610103693 752887626 924128502 1088293074 1220207386 1380293981 1830311079 2760587962 3660622158 4140881943 4642807027 6711140623 8281763886 9285614054 13422281246 13928421081 20133421869 27856842162 27982323433 40266843738 51070877297 55964646866 83946970299 102141754594 153212631891 167893940598 306425263782 307805557763 615611115526 923416673289 1035345967021 1846833346578 2070691934042 3106037901063 6212075802126 11388805637231 22777611274462 34166416911693 68332833823386