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204454045104 = 243196713732437
BaseRepresentation
bin1011111001101001101…
…0010010010110110000
3201112201202100121201220
42332122122102112300
511322210213420404
6233531435425040
720525363465151
oct2763232222660
9645652317656
10204454045104
1179787a84211
123375b2b5180
131638402581a
149c77867928
1554b94d64d9
hex2f9a6925b0

204454045104 has 160 divisors (see below), whose sum is σ = 564912295680. Its totient is φ = 63528385536.

The previous prime is 204454045099. The next prime is 204454045247. The reversal of 204454045104 is 401540454402.

204454045104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83894574 + ... + 83897010.

It is an arithmetic number, because the mean of its divisors is an integer number (3530701848).

Almost surely, 2204454045104 is an apocalyptic number.

204454045104 is a gapful number since it is divisible by the number (24) 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 204454045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282456147840).

204454045104 is an abundant number, since it is smaller than the sum of its proper divisors (360458250576).

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

204454045104 is a wasteful number, since it uses less digits than its factorization.

204454045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 204454045104 its reverse (401540454402), we get a palindrome (605994499506).

The spelling of 204454045104 in words is "two hundred four billion, four hundred fifty-four million, forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1373 1608 2437 2546 2746 3216 3819 4119 4874 5092 5492 7311 7638 8238 9748 10184 10984 14622 15276 16476 19496 20368 21968 26087 29244 30552 32952 38992 46303 52174 58488 61104 65904 78261 91991 92606 104348 116976 138909 156522 163279 183982 185212 208696 275973 277818 313044 326558 367964 370424 417392 489837 551946 555636 626088 653116 735928 740848 979674 1103892 1111272 1252176 1306232 1471856 1747829 1959348 2207784 2222544 2612464 3102301 3346001 3495658 3918696 4415568 5243487 6204602 6692002 6991316 7837392 9306903 10038003 10486974 12409204 13384004 13982632 18613806 20076006 20973948 24818408 26768008 27965264 37227612 40152012 41947896 49636816 53536016 63574019 74455224 80304024 83895792 127148038 148910448 160608048 190722057 224182067 254296076 381444114 448364134 508592152 672546201 762888228 896728268 1017184304 1345092402 1525776456 1793456536 2690184804 3051552912 3586913072 4259459273 5380369608 8518918546 10760739216 12778377819 17037837092 25556755638 34075674184 51113511276 68151348368 102227022552 204454045104