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10016408144 = 241932948711
BaseRepresentation
bin10010101010000011…
…00100001001010000
3221212001122020212102
421111001210021100
5131003200030034
64333530215532
7503134031051
oct112501441120
927761566772
1010016408144
114280001766
121b365845a8
13c38213a32
146b03d4728
153d954e97e
hex255064250

10016408144 has 20 divisors (see below), whose sum is σ = 20428201440. Its totient is φ = 4744614240.

The previous prime is 10016408123. The next prime is 10016408147. The reversal of 10016408144 is 44180461001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016408147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16474052 + ... + 16474659.

It is an arithmetic number, because the mean of its divisors is an integer number (1021410072).

Almost surely, 210016408144 is an apocalyptic number.

It is an amenable number.

10016408144 is an abundant number, since it is smaller than the sum of its proper divisors (10411793296).

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

10016408144 is a wasteful number, since it uses less digits than its factorization.

10016408144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32948738 (or 32948732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 10016408144 its reverse (44180461001), we get a palindrome (54196869145).

The spelling of 10016408144 in words is "ten billion, sixteen million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 32948711 65897422 131794844 263589688 527179376 626025509 1252051018 2504102036 5008204072 10016408144