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202855456161 = 33532394491321
BaseRepresentation
bin1011110011101100100…
…0001001110110100001
3201101121100022212222000
42330323020021312201
511310421444044121
6233105052234213
720440642633041
oct2747310116641
9641540285860
10202855456161
1179037686726
1233393a6b969
131618aa950c7
149b6541d721
155423eb5526
hex2f3b209da1

202855456161 has 64 divisors (see below), whose sum is σ = 308396160000. Its totient is φ = 131736084480.

The previous prime is 202855456159. The next prime is 202855456241. The reversal of 202855456161 is 161654558202.

202855456161 is a `hidden beast` number, since 2 + 0 + 2 + 85 + 5 + 4 + 561 + 6 + 1 = 666.

202855456161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202855456161 - 21 = 202855456159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202855456261) 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 63 ways as a sum of consecutive naturals, for example, 153561381 + ... + 153562701.

It is an arithmetic number, because the mean of its divisors is an integer number (4818690000).

Almost surely, 2202855456161 is an apocalyptic number.

It is an amenable number.

202855456161 is a deficient number, since it is larger than the sum of its proper divisors (105540703839).

202855456161 is a wasteful number, since it uses less digits than its factorization.

202855456161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 202855456161 in words is "two hundred two billion, eight hundred fifty-five million, four hundred fifty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 27 53 159 239 449 477 717 1321 1347 1431 2151 3963 4041 6453 11889 12123 12667 23797 35667 38001 70013 71391 107311 114003 210039 214173 315719 321933 342009 593129 630117 642519 947157 965799 1779387 1890351 2841471 2897397 5338161 5687483 8524413 16014483 16733107 17062449 31435837 50199321 51187347 94307511 141757831 150597963 153562041 282922533 425273493 451793889 848767599 1275820479 3827461437 7513165043 22539495129 67618485387 202855456161