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10132044433 = 722331793671
BaseRepresentation
bin10010110111110101…
…01011101010010001
3222011010020012000221
421123322223222101
5131222300410213
64353220513041
7506036646100
oct113372535221
928133205027
1010132044433
11432a302a45
121b6924b781
13c56170684
146c18d6037
153e479238d
hex25beaba91

10132044433 has 48 divisors (see below), whose sum is σ = 12859637760. Its totient is φ = 7935127200.

The previous prime is 10132044361. The next prime is 10132044469. The reversal of 10132044433 is 33444023101.

It is not a de Polignac number, because 10132044433 - 217 = 10131913361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132044398 and 10132044407.

It is not an unprimeable number, because it can be changed into a prime (10132044493) 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, 2758188 + ... + 2761858.

It is an arithmetic number, because the mean of its divisors is an integer number (267909120).

Almost surely, 210132044433 is an apocalyptic number.

It is an amenable number.

10132044433 is a deficient number, since it is larger than the sum of its proper divisors (2727593327).

10132044433 is a wasteful number, since it uses less digits than its factorization.

10132044433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10132044433 its reverse (33444023101), we get a palindrome (43576067534).

The spelling of 10132044433 in words is "ten billion, one hundred thirty-two million, forty-four thousand, four hundred thirty-three".

Divisors: 1 7 23 31 49 79 161 217 553 713 1127 1519 1817 2449 3671 3871 4991 12719 17143 25697 34937 56327 84433 89033 113801 120001 179879 290009 394289 591031 796607 2030063 2617423 2760023 4137217 5576249 6670207 8990279 14210441 18321961 46691449 62931953 128253727 206776417 326840143 440523671 1447434919 10132044433