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204368189040 = 24325502356509
BaseRepresentation
bin1011111001010101001…
…0110001011001110000
3201112111202210200100200
42332111102301121300
511322021224022130
6233515131315200
720523301642011
oct2762522613160
9645452720320
10204368189040
1179743573294
12337365abb00
131636c2c4b12
149c6a2b9008
1554b1bc7760
hex2f954b1670

204368189040 has 120 divisors (see below), whose sum is σ = 686485288320. Its totient is φ = 54486369792.

The previous prime is 204368189023. The next prime is 204368189071. The reversal of 204368189040 is 40981863402.

It is a happy number.

204368189040 is a `hidden beast` number, since 20 + 436 + 81 + 89 + 0 + 40 = 666.

204368189040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4520712-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2043681890402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3588306 + ... + 3644814.

It is an arithmetic number, because the mean of its divisors is an integer number (5720710736).

Almost surely, 2204368189040 is an apocalyptic number.

204368189040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204368189040 is an abundant number, since it is smaller than the sum of its proper divisors (482117099280).

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

204368189040 is a wasteful number, since it uses less digits than its factorization.

204368189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61551 (or 61542 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 204368189040 in words is "two hundred four billion, three hundred sixty-eight million, one hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5023 10046 15069 20092 25115 30138 40184 45207 50230 56509 60276 75345 80368 90414 100460 113018 120552 150690 169527 180828 200920 226035 226036 241104 282545 301380 339054 361656 401840 452070 452072 508581 565090 602760 678108 723312 847635 904140 904144 1017162 1130180 1205520 1356216 1695270 1808280 2034324 2260360 2542905 2712432 3390540 3616560 4068648 4520720 5085810 6781080 8137296 10171620 13562160 20343240 40686480 283844707 567689414 851534121 1135378828 1419223535 1703068242 2270757656 2554602363 2838447070 3406136484 4257670605 4541515312 5109204726 5676894140 6812272968 8515341210 10218409452 11353788280 12773011815 13624545936 17030682420 20436818904 22707576560 25546023630 34061364840 40873637808 51092047260 68122729680 102184094520 204368189040