Search a number
-
+
10841325632 = 262320033677
BaseRepresentation
bin10100001100011000…
…11000000001000000
31000222112212101220222
422012030120001000
5134200334410012
64551435122212
7532441514234
oct120614300100
930875771828
1010841325632
114663711455
1221268a3368
13103a0ac3a7
1474bba85c4
15436b99972
hex286318040

10841325632 has 56 divisors (see below), whose sum is σ = 22465930176. Its totient is φ = 5180983808.

The previous prime is 10841325631. The next prime is 10841325647. The reversal of 10841325632 is 23652314801.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10841325592 and 10841325601.

It is not an unprimeable number, because it can be changed into a prime (10841325631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2946578 + ... + 2950254.

Almost surely, 210841325632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10841325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232965088).

10841325632 is an abundant number, since it is smaller than the sum of its proper divisors (11624604544).

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

10841325632 is a wasteful number, since it uses less digits than its factorization.

10841325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10841325632 in words is "ten billion, eight hundred forty-one million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 2003 3677 4006 7354 8012 14708 16024 29416 32048 46069 58832 64096 84571 92138 117664 128192 169142 184276 235328 338284 368552 676568 737104 1353136 1474208 2706272 2948416 5412544 7365031 14730062 29460124 58920248 117840496 169395713 235680992 338791426 471361984 677582852 1355165704 2710331408 5420662816 10841325632