Search a number
-
+
218726040006 = 232137691712823
BaseRepresentation
bin1100101110110100010…
…1101000000111000110
3202220120101122002011200
43023231011220013012
512040422331240011
6244251550043330
721542143443555
oct3135505500706
9686511562150
10218726040006
1184841169221
1236482aa9546
1317819aa8516
14a82d103d9c
155a52445856
hex32ed1681c6

218726040006 has 48 divisors (see below), whose sum is σ = 477471837024. Its totient is φ = 72360392832.

The previous prime is 218726039993. The next prime is 218726040011. The reversal of 218726040006 is 600040627812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17050911 + ... + 17063733.

It is an arithmetic number, because the mean of its divisors is an integer number (9947329938).

Almost surely, 2218726040006 is an apocalyptic number.

218726040006 is an abundant number, since it is smaller than the sum of its proper divisors (258745797018).

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

218726040006 is a wasteful number, since it uses less digits than its factorization.

218726040006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19885 (or 19882 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 218726040006 its reverse (600040627812), we get a palindrome (818766667818).

The spelling of 218726040006 in words is "two hundred eighteen billion, seven hundred twenty-six million, forty thousand, six".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 6917 12823 13834 20751 25646 38469 41502 62253 76938 115407 124506 230814 947629 1756751 1895258 2842887 3513502 5270253 5685774 8528661 10540506 15810759 17057322 31621518 88696691 177393382 266090073 532180146 798270219 1596540438 12151446667 24302893334 36454340001 72908680002 109363020003 218726040006