Search a number
-
+
204131203040996 = 22721128607320081
BaseRepresentation
bin101110011010011111111111…
…110110000100011011100100
3222202202202022111222211010022
4232122133333312010123210
5203223441200434302441
62002052325144014312
760665664335630300
oct5632377766043344
9882682274884108
10204131203040996
115a051614477600
121aa89bb2a61398
1389b964a2797ca
14385a008110d00
15188edc37e984b
hexb9a7ffd846e4

204131203040996 has 54 divisors (see below), whose sum is σ = 456764654791494. Its totient is φ = 79531637539200.

The previous prime is 204131203040951. The next prime is 204131203041041. The reversal of 204131203040996 is 699040302131402.

It is an interprime number because it is at equal distance from previous prime (204131203040951) and next prime (204131203041041).

It can be written as a sum of positive squares in only one way, i.e., 201671525232100 + 2459677808896 = 14201110^2 + 1568336^2 .

It is a super-3 number, since 3×2041312030409963 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4303636325 + ... + 4303683756.

It is an arithmetic number, because the mean of its divisors is an integer number (8458604718361).

Almost surely, 2204131203040996 is an apocalyptic number.

It is an amenable number.

204131203040996 is an abundant number, since it is smaller than the sum of its proper divisors (252633451750498).

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

204131203040996 is a wasteful number, since it uses less digits than its factorization.

204131203040996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607320121 (or 8607320101 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 204131203040996 in words is "two hundred four trillion, one hundred thirty-one billion, two hundred three million, forty thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 8607320081 17214640162 34429280324 60251240567 94680520891 120502481134 189361041782 241004962268 378722083564 421758683969 662763646237 843517367938 1041485729801 1325527292474 1687034735876 2082971459602 2651054584948 4165942919204 4639345523659 7290400108607 9278691047318 14580800217214 18557382094636 29161600434428 51032800760249 102065601520498 204131203040996