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10166324784 = 2437211974051
BaseRepresentation
bin10010111011111010…
…11100111000110000
3222020111201210211120
421131331130320300
5131310034343114
64400443342240
7506634222600
oct113575347060
928214653746
1010166324784
114347697310
121b78821980
13c602b39c5
146c629ac00
153e77b45a9
hex25df5ce30

10166324784 has 240 divisors, whose sum is σ = 33680094336. Its totient is φ = 2612736000.

The previous prime is 10166324761. The next prime is 10166324789. The reversal of 10166324784 is 48742366101.

It is a super-4 number, since 4×101663247844 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (10166324789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507559 + ... + 2511609.

Almost surely, 210166324784 is an apocalyptic number.

10166324784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166324784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16840047168).

10166324784 is an abundant number, since it is smaller than the sum of its proper divisors (23513769552).

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

10166324784 is a wasteful number, since it uses less digits than its factorization.

10166324784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10166324784 in words is "ten billion, one hundred sixty-six million, three hundred twenty-four thousand, seven hundred eighty-four".