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204984489402 = 233711191258109
BaseRepresentation
bin1011111011101000000…
…1110001010110111010
3201121002201110222112000
42332322001301112322
511324302012130102
6234100225001430
720544464261040
oct2767201612672
9647081428460
10204984489402
1179a2a444930
1233888a83276
1316439ba9ba4
149cc80a6390
1554ead6501c
hex2fba0715ba

204984489402 has 128 divisors (see below), whose sum is σ = 570898022400. Its totient is φ = 52963761600.

The previous prime is 204984489383. The next prime is 204984489419.

It is a happy number.

204984489402 is a `hidden beast` number, since 2 + 0 + 49 + 84 + 489 + 40 + 2 = 666.

204984489402 is nontrivially palindromic in base 10.

204984489402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665124 + ... + 923232.

It is an arithmetic number, because the mean of its divisors is an integer number (4460140800).

Almost surely, 2204984489402 is an apocalyptic number.

204984489402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204984489402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285449011200).

204984489402 is an abundant number, since it is smaller than the sum of its proper divisors (365913532998).

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

204984489402 is a wasteful number, since it uses less digits than its factorization.

204984489402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258329 (or 258323 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 204984489402 in words is "two hundred four billion, nine hundred eighty-four million, four hundred eighty-nine thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 191 198 231 297 378 382 462 573 594 693 1146 1337 1386 1719 2079 2101 2674 3438 4011 4158 4202 5157 6303 8022 10314 12033 12606 14707 18909 24066 29414 36099 37818 44121 56727 72198 88242 113454 132363 258109 264726 397089 516218 774327 794178 1548654 1806763 2322981 2839199 3613526 4645962 5420289 5678398 6968943 8517597 10840578 13937886 16260867 17035194 19874393 25552791 32521734 39748786 48782601 49298819 51105582 59623179 76658373 97565202 98597638 119246358 147896457 153316746 178869537 295792914 345091733 357739074 443689371 536608611 542287009 690183466 887378742 1035275199 1073217222 1084574018 1331068113 1626861027 2070550398 2662136226 3105825597 3253722054 3796009063 4880583081 6211651194 7592018126 9317476791 9761166162 11388027189 14641749243 18634953582 22776054378 29283498486 34164081567 68328163134 102492244701 204984489402