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4216611366 = 23211196716729
BaseRepresentation
bin1111101101010100…
…0110001000100110
3101212212022001101100
43323111012020212
532113423030431
61534224340530
7206330414412
oct37325061046
911785261340
104216611366
111874192590
12998174746
13522773916
142c001bd42
1519a2b14e6
hexfb546226

4216611366 has 96 divisors (see below), whose sum is σ = 10648310400. Its totient is φ = 1192371840.

The previous prime is 4216611359. The next prime is 4216611389. The reversal of 4216611366 is 6631166124.

It is a happy number.

4216611366 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 611 + 36 + 6 = 666.

4216611366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42166113662 = 35559622823760771912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4216611366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243690 + ... + 260418.

It is an arithmetic number, because the mean of its divisors is an integer number (110919900).

Almost surely, 24216611366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216611366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324155200).

4216611366 is an abundant number, since it is smaller than the sum of its proper divisors (6431699034).

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

4216611366 is a wasteful number, since it uses less digits than its factorization.

4216611366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16834 (or 16831 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4216611366 is about 64935.4399846494. The cubic root of 4216611366 is about 1615.5529315343.

The spelling of 4216611366 in words is "four billion, two hundred sixteen million, six hundred eleven thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 67 99 114 134 171 198 201 209 342 402 418 603 627 737 1206 1254 1273 1474 1881 2211 2546 3762 3819 4422 6633 7638 11457 13266 14003 16729 22914 28006 33458 42009 50187 84018 100374 126027 150561 184019 252054 301122 317851 368038 552057 635702 953553 1104114 1120843 1656171 1907106 2241686 2860659 3312342 3362529 3496361 5721318 6725058 6992722 10087587 10489083 12329273 20175174 20978166 21296017 24658546 31467249 36987819 42592034 62934498 63888051 73975638 110963457 127776102 191664153 221926914 234256187 383328306 468512374 702768561 1405537122 2108305683 4216611366