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268232711922 = 2347258132
BaseRepresentation
bin1111100111001111101…
…0100101111011110010
3221122100121011120220000
43321303322211323302
513343320033240142
6323120245530430
725244025301200
oct3716372457362
9848317146800
10268232711922
11a383641160a
1243b9a713a16
131c3a958ac26
14cda80d8070
156e9d83e14c
hex3e73ea5ef2

268232711922 has 90 divisors (see below), whose sum is σ = 699289237053. Its totient is φ = 76624733808.

The previous prime is 268232711921. The next prime is 268232711933. The reversal of 268232711922 is 229117232862.

268232711922 is a `hidden beast` number, since 268 + 232 + 71 + 1 + 92 + 2 = 666.

268232711922 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257648623281 + 10584088641 = 507591^2 + 102879^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=366219.

It is not an unprimeable number, because it can be changed into a prime (268232711921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46140688 + ... + 46146500.

Almost surely, 2268232711922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268232711922

268232711922 is an abundant number, since it is smaller than the sum of its proper divisors (431056525131).

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

268232711922 is an frugal number, since it uses more digits than its factorization.

268232711922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 5825 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 268232711922 in words is "two hundred sixty-eight billion, two hundred thirty-two million, seven hundred eleven thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 5813 7938 11626 17439 34878 40691 52317 81382 104634 122073 156951 244146 284837 313902 366219 470853 569674 732438 854511 941706 1098657 1709022 2197314 2563533 3295971 5127066 6591942 7690599 15381198 23071797 33790969 46143594 67581938 101372907 202745814 236536783 304118721 473073566 608237442 709610349 912356163 1419220698 1655757481 1824712326 2128831047 2737068489 3311514962 4257662094 4967272443 5474136978 6386493141 9934544886 12772986282 14901817329 19159479423 29803634658 38318958846 44705451987 89410903974 134116355961 268232711922