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646166094 = 237232127229
BaseRepresentation
bin100110100000111…
…011011001001110
31200000212122020120
4212200323121032
52310404303334
6144041325410
722004215110
oct4640733116
91600778216
10646166094
11301820172
12160496866
13a3b40c02
1461b633b0
153badb949
hex2683b64e

646166094 has 96 divisors (see below), whose sum is σ = 1562910720. Its totient is φ = 174436416.

The previous prime is 646166093. The next prime is 646166099. The reversal of 646166094 is 490661646.

646166094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646166093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2821572 + ... + 2821800.

It is an arithmetic number, because the mean of its divisors is an integer number (16280320).

Almost surely, 2646166094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646166094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781455360).

646166094 is an abundant number, since it is smaller than the sum of its proper divisors (916744626).

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

646166094 is a wasteful number, since it uses less digits than its factorization.

646166094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 646166094 is about 25419.7972847936. The cubic root of 646166094 is about 864.5326282244.

The spelling of 646166094 in words is "six hundred forty-six million, one hundred sixty-six thousand, ninety-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 127 138 161 229 254 322 381 458 483 529 687 762 889 966 1058 1374 1587 1603 1778 2667 2921 3174 3206 3703 4809 5267 5334 5842 7406 8763 9618 10534 11109 15801 17526 20447 22218 29083 31602 36869 40894 58166 61341 67183 73738 87249 110607 121141 122682 134366 174498 201549 203581 221214 242282 363423 403098 407162 470281 610743 668909 726846 847987 940562 1221486 1337818 1410843 1695974 2006727 2543961 2821686 4013454 4682363 5087922 9364726 14047089 15384907 28094178 30769814 46154721 92309442 107694349 215388698 323083047 646166094