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204090393864 = 23378333474373
BaseRepresentation
bin1011111000010010111…
…1000100010100001000
3201111210102002020000110
42332010233010110020
511320434120100424
6233431405234320
720513356503360
oct2760457042410
9644712066013
10204090393864
11796107856a5
12336795629a0
131632689cb86
149c414459a0
155497602c29
hex2f84bc4508

204090393864 has 128 divisors (see below), whose sum is σ = 590452208640. Its totient is φ = 57578610432.

The previous prime is 204090393851. The next prime is 204090393887. The reversal of 204090393864 is 468393090402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46668382 + ... + 46672754.

It is an arithmetic number, because the mean of its divisors is an integer number (4612907880).

Almost surely, 2204090393864 is an apocalyptic number.

204090393864 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 204090393864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295226104320).

204090393864 is an abundant number, since it is smaller than the sum of its proper divisors (386361814776).

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

204090393864 is a wasteful number, since it uses less digits than its factorization.

204090393864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7819 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 204090393864 in words is "two hundred four billion, ninety million, three hundred ninety-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3347 3486 4373 4648 6694 6972 8746 10041 13119 13388 13944 17492 20082 23429 26238 26776 30611 34984 40164 46858 52476 61222 70287 80328 91833 93716 104952 122444 140574 183666 187432 244888 277801 281148 362959 367332 555602 562296 725918 734664 833403 1088877 1111204 1451836 1666806 1944607 2177754 2222408 2540713 2903672 3333612 3889214 4355508 5081426 5833821 6667224 7622139 7778428 8711016 10162852 11667642 14636431 15244278 15556856 20325704 23335284 29272862 30488556 43909293 46670568 58545724 60977112 87818586 102455017 117091448 175637172 204910034 307365051 351274344 409820068 614730102 819640136 1214823773 1229460204 2429647546 2458920408 3644471319 4859295092 7288942638 8503766411 9718590184 14577885276 17007532822 25511299233 29155770552 34015065644 51022598466 68030131288 102045196932 204090393864