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216611242169 = 7227332940949
BaseRepresentation
bin1100100110111100001…
…0010100000010111001
3202201010000021012220212
43021233002110002321
512022104434222134
6243302042400505
721435554115320
oct3115702240271
9681100235825
10216611242169
1183956443313
1235b92800135
131757090905a
14a6ac2c50b7
15597b958bce
hex326f0940b9

216611242169 has 16 divisors (see below), whose sum is σ = 248727024000. Its totient is φ = 184788824064.

The previous prime is 216611242123. The next prime is 216611242187. The reversal of 216611242169 is 961242116612.

It is a cyclic number.

It is not a de Polignac number, because 216611242169 - 220 = 216610193593 is a prime.

It is a super-3 number, since 3×2166112421693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (216611242769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269307 + ... + 5310255.

It is an arithmetic number, because the mean of its divisors is an integer number (15545439000).

Almost surely, 2216611242169 is an apocalyptic number.

It is an amenable number.

216611242169 is a deficient number, since it is larger than the sum of its proper divisors (32115781831).

216611242169 is a wasteful number, since it uses less digits than its factorization.

216611242169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44512.

The product of its digits is 62208, while the sum is 41.

The spelling of 216611242169 in words is "two hundred sixteen billion, six hundred eleven million, two hundred forty-two thousand, one hundred sixty-nine".

Divisors: 1 7 227 1589 3329 23303 40949 286643 755683 5289781 9295423 65067961 136319221 954234547 30944463167 216611242169