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233285045796 = 22321129131915401
BaseRepresentation
bin1101100101000011011…
…1110100111000100100
3211022011000222012112100
43121100313310320210
512310231432431141
6255100352052100
722566010112565
oct3312067647044
9738130865470
10233285045796
118aa32365810
1239266834030
1318cca15ba4a
14b41093216c
15610569a0b6
hex3650df4e24

233285045796 has 144 divisors (see below), whose sum is σ = 666031766400. Its totient is φ = 68198592000.

The previous prime is 233285045723. The next prime is 233285045797. The reversal of 233285045796 is 697540582332.

233285045796 is a `hidden beast` number, since 2 + 33 + 28 + 50 + 457 + 96 = 666.

233285045796 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233285045797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15139696 + ... + 15155096.

It is an arithmetic number, because the mean of its divisors is an integer number (4625220600).

Almost surely, 2233285045796 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 233285045796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333015883200).

233285045796 is an abundant number, since it is smaller than the sum of its proper divisors (432746720604).

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

233285045796 is a wasteful number, since it uses less digits than its factorization.

233285045796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16770 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 233285045796 in words is "two hundred thirty-three billion, two hundred eighty-five million, forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1319 1914 2638 2871 3828 3957 5276 5742 7914 11484 11871 14509 15401 15828 23742 29018 30802 38251 43527 46203 47484 58036 61604 76502 87054 92406 114753 130581 138609 153004 169411 174108 184812 229506 261162 277218 338822 344259 420761 446629 459012 508233 522324 554436 677644 688518 841522 893258 1016466 1262283 1339887 1377036 1524699 1683044 1786516 2032932 2524566 2679774 3049398 3786849 4019661 4912919 5049132 5359548 6098796 7573698 8039322 9825838 14738757 15147396 16078644 19651676 20313919 29477514 40627838 44216271 58955028 60941757 81255676 88432542 121883514 176865084 182825271 223453109 243767028 365650542 446906218 589103651 670359327 731301084 893812436 1178207302 1340718654 1767310953 2011077981 2356414604 2681437308 3534621906 4022155962 5301932859 6480140161 7069243812 8044311924 10603865718 12960280322 19440420483 21207731436 25920560644 38880840966 58321261449 77761681932 116642522898 233285045796