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204290536905 = 325713210933511
BaseRepresentation
bin1011111001000010101…
…0100011010111001001
3201112022100200112122200
42332100222203113021
511321341334140110
6233503315110413
720521336624650
oct2762052432711
9645270615580
10204290536905
1179703756074
12337145a2409
13163591a7300
149c5dc64197
1554a9e896c0
hex2f90aa35c9

204290536905 has 144 divisors (see below), whose sum is σ = 438740280576. Its totient is φ = 86102714880.

The previous prime is 204290536903. The next prime is 204290536939. The reversal of 204290536905 is 509635092402.

204290536905 is a `hidden beast` number, since 2 + 0 + 4 + 29 + 0 + 536 + 90 + 5 = 666.

204290536905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Wieferich number.

It is not a de Polignac number, because 204290536905 - 21 = 204290536903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (204290536903) 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 143 ways as a sum of consecutive naturals, for example, 58184100 + ... + 58187610.

It is an arithmetic number, because the mean of its divisors is an integer number (3046807504).

Almost surely, 2204290536905 is an apocalyptic number.

It is an amenable number.

204290536905 is an abundant number, since it is smaller than the sum of its proper divisors (234449743671).

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

204290536905 is a wasteful number, since it uses less digits than its factorization.

204290536905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 204290536905 in words is "two hundred four billion, two hundred ninety million, five hundred thirty-six thousand, nine hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 1093 1183 1365 1521 2535 3279 3511 3549 4095 5465 5915 7605 7651 9837 10533 10647 14209 16395 17555 17745 22953 24577 31599 38255 42627 45643 49185 52665 53235 68859 71045 73731 99463 114765 122885 127881 136929 157995 184717 213135 221193 228215 298389 319501 344295 368655 410787 497315 554151 593359 639405 684645 895167 923585 958503 1105965 1293019 1491945 1597505 1662453 1780077 2053935 2770755 2875509 2966795 3837523 3879057 4153513 4475835 4792515 5340231 6465095 8312265 8900385 11512569 11637171 12460539 14377545 19187615 19395285 20767565 26701155 26862661 34537707 37381617 49887799 57562845 58185855 62302695 80587983 134313305 149663397 172688535 186908085 241763949 249438995 349214593 402939915 448990191 648541387 748316985 1047643779 1208819745 1746072965 1945624161 2244950955 3142931337 3242706935 4539789709 5238218895 5836872483 9728120805 13619369127 15714656685 22698948545 29184362415 40858107381 68096845635 204290536905