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204135430048 = 251141115112289
BaseRepresentation
bin1011111000011101101…
…0110111011110100000
3201111220112211022001021
42332013122313132200
511321032132230143
6233440054415224
720514444345244
oct2760732673640
9644815738037
10204135430048
1179634145a90
1233690661514
131633300aac4
149c4740a424
15549b54bced
hex2f876b77a0

204135430048 has 96 divisors (see below), whose sum is σ = 449547356160. Its totient is φ = 90439680000.

The previous prime is 204135430043. The next prime is 204135430049. The reversal of 204135430048 is 840034531402.

It is a junction number, because it is equal to n+sod(n) for n = 204135429995 and 204135430022.

It is not an unprimeable number, because it can be changed into a prime (204135430043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16605088 + ... + 16617376.

It is an arithmetic number, because the mean of its divisors is an integer number (4682784960).

Almost surely, 2204135430048 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 204135430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224773678080).

204135430048 is an abundant number, since it is smaller than the sum of its proper divisors (245411926112).

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

204135430048 is a wasteful number, since it uses less digits than its factorization.

204135430048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 204135430048 in words is "two hundred four billion, one hundred thirty-five million, four hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1151 1312 1804 2302 3608 4604 7216 9208 12289 12661 14432 18416 24578 25322 36832 47191 49156 50644 94382 98312 101288 135179 188764 196624 202576 270358 377528 393248 405152 503849 519101 540716 755056 1007698 1038202 1081432 1510112 2015396 2076404 2162864 4030792 4152808 4325728 5542339 8061584 8305616 11084678 14144639 16123168 16611232 22169356 28289278 44338712 56578556 88677424 113157112 155591029 177354848 226314224 311182058 452628448 579930199 622364116 1159860398 1244728232 2319720796 2489456464 4639441592 4978912928 6379232189 9278883184 12758464378 18557766368 25516928756 51033857512 102067715024 204135430048