Search a number
-
+
216688206869136 = 24329715513187777
BaseRepresentation
bin110001010001001110100111…
…100110001111001010010000
31001102020012010201001010210100
4301101032213212033022100
5211400204421424303021
62044505104335132400
763433130524240152
oct6121164746171220
91042205121033710
10216688206869136
1163052a52800672
1220377762074100
1393ba7c18a0382
143b71a9d8b8ad2
151a0b856a16626
hexc513a798f290

216688206869136 has 60 divisors (see below), whose sum is σ = 612677838104332. Its totient is φ = 71484769271808.

The previous prime is 216688206869111. The next prime is 216688206869137. The reversal of 216688206869136 is 631968602886612.

It can be written as a sum of positive squares in 2 ways, for example, as 111878852198400 + 104809354670736 = 10577280^2 + 10237644^2 .

It is a super-2 number, since 2×2166882068691362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (216688206869137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7756579921 + ... + 7756607856.

Almost surely, 2216688206869136 is an apocalyptic number.

It is an amenable number.

216688206869136 is an abundant number, since it is smaller than the sum of its proper divisors (395989631235196).

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

216688206869136 is a wasteful number, since it uses less digits than its factorization.

216688206869136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513187888 (or 15513187879 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 216688206869136 in words is "two hundred sixteen trillion, six hundred eighty-eight billion, two hundred six million, eight hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 15513187777 31026375554 46539563331 62052751108 93079126662 124105502216 139618689993 186158253324 248211004432 279237379986 372316506648 558474759972 744633013296 1116949519944 1504779214369 2233899039888 3009558428738 4514337643107 6019116857476 9028675286214 12038233714952 13543012929321 18057350572428 24076467429904 27086025858642 36114701144856 54172051717284 72229402289712 108344103434568 216688206869136