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32241406164 = 223112374314293
BaseRepresentation
bin11110000001101111…
…001101000011010100
310002012221220010121020
4132001233031003110
51012012244444124
622451141121140
72220654300462
oct360157150324
9102187803536
1032241406164
1112745484720
1262b96b91b0
13306a863336
1417bbdc3832
15c8a7c4379
hex781bcd0d4

32241406164 has 96 divisors (see below), whose sum is σ = 85758511104. Its totient is φ = 9332104320.

The previous prime is 32241406163. The next prime is 32241406177. The reversal of 32241406164 is 46160414223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32241406163) 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 31 ways as a sum of consecutive naturals, for example, 2248602 + ... + 2262894.

It is an arithmetic number, because the mean of its divisors is an integer number (893317824).

Almost surely, 232241406164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32241406164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42879255552).

32241406164 is an abundant number, since it is smaller than the sum of its proper divisors (53517104940).

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

32241406164 is a wasteful number, since it uses less digits than its factorization.

32241406164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 32241406164 in words is "thirty-two billion, two hundred forty-one million, four hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 743 759 1012 1486 1518 2229 2972 3036 4458 8173 8916 14293 16346 17089 24519 28586 32692 34178 42879 49038 51267 57172 68356 85758 98076 102534 157223 171516 187979 205068 314446 328739 375958 471669 563937 628892 657478 751916 943338 986217 1127874 1314956 1886676 1972434 2255748 3616129 3944868 7232258 10619699 10848387 14464516 21239398 21696774 31859097 42478796 43393548 63718194 116816689 127436388 233633378 244253077 350450067 467266756 488506154 700900134 732759231 977012308 1401800268 1465518462 2686783847 2931036924 5373567694 8060351541 10747135388 16120703082 32241406164