Search a number
-
+
217530652638 = 231310145176113
BaseRepresentation
bin1100101010010111010…
…1100101011111011110
3202210111002022002222110
43022211311211133132
512031000321341023
6243533204454450
721500420016315
oct3124565453736
9683432262873
10217530652638
1184288422a82
12361aa6aa426
131768923a710
14a75845527c
1559d251ba93
hex32a5d657de

217530652638 has 64 divisors (see below), whose sum is σ = 473348619072. Its totient is φ = 66244300800.

The previous prime is 217530652627. The next prime is 217530652643. The reversal of 217530652638 is 836256035712.

It is a happy number.

It is a super-2 number, since 2×2175306526382 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 35581870 + ... + 35587982.

It is an arithmetic number, because the mean of its divisors is an integer number (7396072173).

Almost surely, 2217530652638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217530652638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236674309536).

217530652638 is an abundant number, since it is smaller than the sum of its proper divisors (255817966434).

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

217530652638 is a wasteful number, since it uses less digits than its factorization.

217530652638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10749.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 217530652638 in words is "two hundred seventeen billion, five hundred thirty million, six hundred fifty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 2626 3939 4517 6113 7878 9034 12226 13551 18339 27102 36678 58721 79469 117442 158938 176163 238407 352326 456217 476814 617413 912434 1234826 1368651 1852239 2737302 3704478 5930821 8026369 11861642 16052738 17792463 24079107 27612421 35584926 48158214 55224842 82837263 165674526 358961473 717922946 1076884419 2153768838 2788854521 5577709042 8366563563 16733127126 36255108773 72510217546 108765326319 217530652638