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4052263550166 = 23213113307499189
BaseRepresentation
bin111010111101111101101…
…110101011110011010110
3112100101121012210010122100
4322331331232223303112
51012343013432101131
612341330103142530
7565523603566356
oct72757556536326
915311535703570
104052263550166
11132261214a437
12555432a44a46
132351857ba950
141001b8530b66
157061e4217e6
hex3af7dbabcd6

4052263550166 has 96 divisors (see below), whose sum is σ = 9570047366880. Its totient is φ = 1231788321792.

The previous prime is 4052263550141. The next prime is 4052263550171. The reversal of 4052263550166 is 6610553622504.

4052263550166 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 2 + 635 + 5 + 0 + 1 + 6 + 6 = 666.

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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7868100 + ... + 8367288.

It is an arithmetic number, because the mean of its divisors is an integer number (99687993405).

Almost surely, 24052263550166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052263550166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785023683440).

4052263550166 is an abundant number, since it is smaller than the sum of its proper divisors (5517783816714).

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

4052263550166 is a wasteful number, since it uses less digits than its factorization.

4052263550166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499630 (or 499627 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 4052263550166 in words is "four trillion, fifty-two billion, two hundred sixty-three million, five hundred fifty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 307 339 614 678 921 1017 1469 1842 2034 2763 2938 3991 4407 5526 7982 8814 11973 13221 23946 26442 34691 35919 69382 71838 104073 208146 312219 450983 499189 624438 901966 998378 1352949 1497567 2705898 2995134 4058847 4492701 6489457 8117694 8985402 12978914 19468371 38936742 56408357 58405113 112816714 116810226 153251023 169225071 306502046 338450142 459753069 507675213 733308641 919506138 1015350426 1379259207 1466617282 1992263299 2199925923 2758518414 3984526598 4399851846 5976789897 6599777769 11953579794 13199555538 17317365599 17930369691 34634731198 35860739382 51952096797 103904193594 155856290391 225125752787 311712580782 450251505574 675377258361 1350754516722 2026131775083 4052263550166