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10042400432 = 24839748093
BaseRepresentation
bin10010101101001001…
…01101111010110000
3221220212112210120202
421112210231322300
5131031323303212
64340255254332
7503600665241
oct112644557260
927825483522
1010042400432
114293745099
121b4321a3a8
13c4071479c
146b3a3ccc8
153db9860c2
hex25692deb0

10042400432 has 20 divisors (see below), whose sum is σ = 19480367760. Its totient is φ = 5015208768.

The previous prime is 10042400411. The next prime is 10042400437. The reversal of 10042400432 is 23400424001.

10042400432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10042400437) 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 3 ways as a sum of consecutive naturals, for example, 360623 + ... + 387470.

It is an arithmetic number, because the mean of its divisors is an integer number (974018388).

Almost surely, 210042400432 is an apocalyptic number.

It is an amenable number.

10042400432 is a deficient number, since it is larger than the sum of its proper divisors (9437967328).

10042400432 is an equidigital number, since it uses as much as digits as its factorization.

10042400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748940 (or 748934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10042400432 its reverse (23400424001), we get a palindrome (33442824433).

The spelling of 10042400432 in words is "ten billion, forty-two million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 839 1678 3356 6712 13424 748093 1496186 2992372 5984744 11969488 627650027 1255300054 2510600108 5021200216 10042400432