Search a number
-
+
201643645104 = 243311244717341
BaseRepresentation
bin1011101111001011100…
…1011101100010110000
3201021110220002111201000
42323302321131202300
511300431233120404
6232344523042000
720365626463146
oct2736271354260
9637426074630
10201643645104
1178575643090
12330b6070300
13160269c6945
149a8c4d7596
1553a28e5339
hex2ef2e5d8b0

201643645104 has 160 divisors (see below), whose sum is σ = 631703854080. Its totient is φ = 61075641600.

The previous prime is 201643645097. The next prime is 201643645109. The reversal of 201643645104 is 401546346102.

201643645104 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 4 + 3 + 645 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×2016436451042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201643645109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11619474 + ... + 11636814.

It is an arithmetic number, because the mean of its divisors is an integer number (3948149088).

Almost surely, 2201643645104 is an apocalyptic number.

201643645104 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 201643645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315851927040).

201643645104 is an abundant number, since it is smaller than the sum of its proper divisors (430060208976).

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

201643645104 is a wasteful number, since it uses less digits than its factorization.

201643645104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 201643645104 in words is "two hundred one billion, six hundred forty-three million, six hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2447 4752 4894 7341 9788 14682 17341 19576 22023 26917 29364 34682 39152 44046 52023 53834 58728 66069 69364 80751 88092 104046 107668 117456 132138 138728 156069 161502 176184 190751 208092 215336 242253 264276 277456 312138 323004 352368 381502 416184 430672 468207 484506 528552 572253 624276 646008 726759 763004 832368 936414 969012 1057104 1144506 1248552 1292016 1453518 1526008 1716759 1872828 1938024 2289012 2497104 2907036 3052016 3433518 3745656 3876048 4578024 5150277 5814072 6867036 7491312 9156048 10300554 11628144 13734072 20601108 27468144 41202216 42433427 82404432 84866854 127300281 169733708 254600562 339467416 381900843 466767697 509201124 678934832 763801686 933535394 1018402248 1145702529 1400303091 1527603372 1867070788 2036804496 2291405058 2800606182 3055206744 3734141576 4200909273 4582810116 5601212364 6110413488 7468283152 8401818546 9165620232 11202424728 12602727819 16803637092 18331240464 22404849456 25205455638 33607274184 50410911276 67214548368 100821822552 201643645104