Search a number
-
+
217381180406 = 21323747369833
BaseRepresentation
bin1100101001110011101…
…1011001001111110110
3202210002200001010121212
43022130323121033312
512030144040233111
6243510305041422
721463623355235
oct3123473311766
9683080033555
10217381180406
1184211011305
1236168626272
1317664294b00
14a742666b1c
1559c434398b
hex329ced93f6

217381180406 has 48 divisors (see below), whose sum is σ = 370342891584. Its totient is φ = 95540919552.

The previous prime is 217381180363. The next prime is 217381180411. The reversal of 217381180406 is 604081183712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402866 + ... + 772698.

It is an arithmetic number, because the mean of its divisors is an integer number (7715476908).

Almost surely, 2217381180406 is an apocalyptic number.

217381180406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

217381180406 is a deficient number, since it is larger than the sum of its proper divisors (152961711178).

217381180406 is a wasteful number, since it uses less digits than its factorization.

217381180406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369945 (or 369932 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 217381180406 in words is "two hundred seventeen billion, three hundred eighty-one million, one hundred eighty thousand, four hundred six".

Divisors: 1 2 13 26 37 47 74 94 169 338 481 611 962 1222 1739 3478 6253 7943 12506 15886 22607 45214 293891 369833 587782 739666 4807829 9615658 13683821 17382151 27367642 34764302 62501777 125003554 177889673 225967963 355779346 451935926 643139587 1286279174 2312565749 2937583519 4625131498 5875167038 8360814631 16721629262 108690590203 217381180406