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433997041122 = 2316712
BaseRepresentation
bin1100101000011000011…
…11010100110111100010
31112111020000000000000000
412110030033110313202
524102311220303442
6531213034440430
743232564660661
oct6241417246742
91474200000000
10433997041122
1115806a0195a7
1270140893116
1331c05b2a118
14170113d0dd8
15b4513b0d4c
hex650c3d4de2

433997041122 has 102 divisors (see below), whose sum is σ = 990440472459. Its totient is φ = 142628135580.

The previous prime is 433997041117. The next prime is 433997041171. The reversal of 433997041122 is 221140799334.

433997041122 is a `hidden beast` number, since 433 + 9 + 97 + 0 + 4 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216998520561 + 216998520561 = 465831^2 + 465831^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=465831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 50 ways as a sum of consecutive naturals, for example, 6112634347 + ... + 6112634417.

Almost surely, 2433997041122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433997041122

433997041122 is an abundant number, since it is smaller than the sum of its proper divisors (556443431337).

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

433997041122 is an frugal number, since it uses more digits than its factorization.

433997041122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 433997041122 in words is "four hundred thirty-three billion, nine hundred ninety-seven million, forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 729 1278 1458 1917 2187 3834 4374 5041 5751 6561 10082 11502 13122 15123 17253 19683 30246 34506 39366 45369 51759 59049 90738 103518 118098 136107 155277 177147 272214 310554 354294 408321 465831 531441 816642 931662 1062882 1224963 1397493 1594323 2449926 2794986 3188646 3674889 4192479 4782969 7349778 8384958 9565938 11024667 12577437 14348907 22049334 25154874 28697814 33074001 37732311 43046721 66148002 75464622 86093442 99222003 113196933 198444006 226393866 297666009 339590799 595332018 679181598 892998027 1018772397 1785996054 2037544794 2678994081 3056317191 5357988162 6112634382 8036982243 16073964486 24110946729 48221893458 72332840187 144665680374 216998520561 433997041122