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204009402276 = 223423210912
BaseRepresentation
bin1011110111111111101…
…0000110111110100100
3201111120202200102110000
42331333322012332210
511320302401333101
6233415353301300
720511354210321
oct2757772067644
9644522612400
10204009402276
1179579a974a9
1233656404830
1316312b83364
149c347a1b48
155490455486
hex2f7fe86fa4

204009402276 has 135 divisors (see below), whose sum is σ = 558028390843. Its totient is φ = 64986855120.

The previous prime is 204009402151. The next prime is 204009402277. The reversal of 204009402276 is 672204900402.

The square root of 204009402276 is 451674.

It is a perfect power (a square), and thus also a powerful number.

204009402276 is a `hidden beast` number, since 20 + 400 + 9 + 4 + 0 + 227 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204009402276.

It is not an unprimeable number, because it can be changed into a prime (204009402277) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 186992491 + ... + 186993581.

Almost surely, 2204009402276 is an apocalyptic number.

204009402276 is the 451674-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204009402276

204009402276 is an abundant number, since it is smaller than the sum of its proper divisors (354018988567).

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

204009402276 is an equidigital number, since it uses as much as digits as its factorization.

204009402276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 204009402276 by its sum of digits (36), we get a square (7344338481936 = 27100442).

204009402276 divided by its sum of digits (36) gives a square (5666927841 = 752792).

The spelling of 204009402276 in words is "two hundred four billion, nine million, four hundred two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1091 1242 1587 1863 2116 2182 2484 3174 3273 3726 4364 4761 6348 6546 7452 9522 9819 13092 14283 19044 19638 25093 28566 29457 39276 42849 50186 57132 58914 75279 85698 88371 100372 117828 150558 171396 176742 225837 301116 353484 451674 577139 677511 903348 1154278 1190281 1355022 1731417 2032533 2308556 2380562 2710044 3462834 3570843 4065066 4761124 5194251 6925668 7141686 8130132 10388502 10712529 14283372 15582753 20777004 21425058 27376463 31165506 32137587 42850116 46748259 54752926 62331012 64275174 82129389 93496518 96412761 109505852 128550348 164258778 186993036 192825522 246388167 328517556 385651044 492776334 629658649 739164501 985552668 1259317298 1478329002 1888975947 2217493503 2518634596 2956658004 3777951894 4434987006 5666927841 7555903788 8869974012 11333855682 17000783523 22667711364 34001567046 51002350569 68003134092 102004701138 204009402276