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204115525240 = 235114352120707
BaseRepresentation
bin1011111000011000111…
…0111011111001111000
3201111212011101000210011
42332012032323321320
511321012033301430
6233434104031304
720514113223604
oct2760616737170
9644764330704
10204115525240
1179623990230
1233685a62534
131632bb5bb03
149c44908504
15549991922a
hex2f863bbe78

204115525240 has 128 divisors (see below), whose sum is σ = 513671051520. Its totient is φ = 72355046400.

The previous prime is 204115525177. The next prime is 204115525241. The reversal of 204115525240 is 42525511402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204115525241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9846967 + ... + 9867673.

It is an arithmetic number, because the mean of its divisors is an integer number (4013055090).

Almost surely, 2204115525240 is an apocalyptic number.

204115525240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204115525240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256835525760).

204115525240 is an abundant number, since it is smaller than the sum of its proper divisors (309555526280).

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

204115525240 is a wasteful number, since it uses less digits than its factorization.

204115525240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293 (or 21289 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 204115525240 in words is "two hundred four billion, one hundred fifteen million, five hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 521 860 946 1042 1720 1892 2084 2365 2605 3784 4168 4730 5210 5731 9460 10420 11462 18920 20707 20840 22403 22924 28655 41414 44806 45848 57310 82828 89612 103535 112015 114620 165656 179224 207070 224030 227777 229240 246433 414140 448060 455554 492866 828280 890401 896120 911108 985732 1138885 1232165 1780802 1822216 1971464 2277770 2464330 3561604 4452005 4555540 4928660 7123208 8904010 9111080 9794411 9857320 10788347 17808020 19588822 21576694 35616040 39177644 43153388 48972055 53941735 78355288 86306776 97944110 107883470 118671817 195888220 215766940 237343634 391776440 431533880 463898921 474687268 593359085 927797842 949374536 1186718170 1855595684 2319494605 2373436340 3711191368 4638989210 4746872680 5102888131 9277978420 10205776262 18555956840 20411552524 25514440655 40823105048 51028881310 102057762620 204115525240