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204071640069460 = 225234392966934061
BaseRepresentation
bin101110011001101000100001…
…100111010111010101010100
3222202120001120110202100201111
4232121220201213113111110
5203222002204324210320
62002005114530504404
760661455324005122
oct5631504147272524
9882501513670644
10204071640069460
115a029329756499
121aa7a54b435104
1389b3b47227057
143857197700912
15188d589621a5a
hexb99a219d7554

204071640069460 has 96 divisors (see below), whose sum is σ = 448229978380800. Its totient is φ = 77896813463040.

The previous prime is 204071640069421. The next prime is 204071640069469. The reversal of 204071640069460 is 64960046170402.

It is a happy number.

204071640069460 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204071640069469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5991340830 + ... + 5991374890.

It is an arithmetic number, because the mean of its divisors is an integer number (4669062274800).

Almost surely, 2204071640069460 is an apocalyptic number.

204071640069460 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 204071640069460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224114989190400).

204071640069460 is an abundant number, since it is smaller than the sum of its proper divisors (244158338311340).

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

204071640069460 is a wasteful number, since it uses less digits than its factorization.

204071640069460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64201 (or 64199 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 204071640069460 in words is "two hundred four trillion, seventy-one billion, six hundred forty million, sixty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 439 460 878 1756 2195 4390 8780 10097 20194 29669 34061 40388 50485 59338 68122 100970 118676 136244 148345 170305 201940 296690 340610 593380 681220 682387 783403 1364774 1566806 2729548 3133612 3411935 3917015 6823870 7834030 13024691 13647740 14952779 15668060 26049382 29905558 52098764 59811116 65123455 74763895 130246910 149527790 260493820 299055580 299567893 343913917 599135786 687827834 1010555809 1198271572 1375655668 1497839465 1719569585 2021111618 2995678930 3439139170 4042223236 5052779045 5991357860 6878278340 10105558090 20211116180 23242783607 46485567214 92971134428 116213918035 232427836070 443634000151 464855672140 887268000302 1774536000604 2218170000755 4436340001510 8872680003020 10203582003473 20407164006946 40814328013892 51017910017365 102035820034730 204071640069460