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10014000192 = 263471631693
BaseRepresentation
bin10010101001110000…
…11000010001000000
3221211220002220210000
421110320120101000
5131002041001232
64333402440000
7503104411560
oct112470302100
927756086700
1010014000192
114279707619
121b35803000
13c3787ca01
146add68da0
153d922627c
hex254e18440

10014000192 has 280 divisors, whose sum is σ = 34153587776. Its totient is φ = 2841910272.

The previous prime is 10014000173. The next prime is 10014000193. The reversal of 10014000192 is 29100041001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10014000193) 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 39 ways as a sum of consecutive naturals, for example, 5914098 + ... + 5915790.

Almost surely, 210014000192 is an apocalyptic number.

10014000192 is a gapful number since it is divisible by the number (12) 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 10014000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076793888).

10014000192 is an abundant number, since it is smaller than the sum of its proper divisors (24139587584).

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

10014000192 is a wasteful number, since it uses less digits than its factorization.

10014000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10014000192 its reverse (29100041001), we get a palindrome (39114041193).

The spelling of 10014000192 in words is "ten billion, fourteen million, one hundred ninety-two", and thus it is an aban number.