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10545232240 = 2451011916833
BaseRepresentation
bin10011101001000101…
…10111100101110000
31000012220201022011001
421310202313211300
5133044034412430
64502220531344
7522214665214
oct116442674560
930186638131
1010545232240
114521566074
1220636b0b54
13cc094b7ba
14720730944
1541abad3ca
hex2748b7970

10545232240 has 80 divisors (see below), whose sum is σ = 24893692416. Its totient is φ = 4153856000.

The previous prime is 10545232231. The next prime is 10545232241. The reversal of 10545232240 is 4223254501.

10545232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105452322402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10545232199 and 10545232208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545232241) 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 15 ways as a sum of consecutive naturals, for example, 1539864 + ... + 1546696.

Almost surely, 210545232240 is an apocalyptic number.

10545232240 is a gapful number since it is divisible by the number (10) 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 10545232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446846208).

10545232240 is an abundant number, since it is smaller than the sum of its proper divisors (14348460176).

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

10545232240 is a wasteful number, since it uses less digits than its factorization.

10545232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 10545232240 its reverse (4223254501), we get a palindrome (14768486741).

The spelling of 10545232240 in words is "ten billion, five hundred forty-five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 191 202 382 404 505 764 808 955 1010 1528 1616 1910 2020 3056 3820 4040 6833 7640 8080 13666 15280 19291 27332 34165 38582 54664 68330 77164 96455 109328 136660 154328 192910 273320 308656 385820 546640 690133 771640 1305103 1380266 1543280 2610206 2760532 3450665 5220412 5521064 6525515 6901330 10440824 11042128 13051030 13802660 20881648 26102060 27605320 52204120 55210640 104408240 131815403 263630806 527261612 659077015 1054523224 1318154030 2109046448 2636308060 5272616120 10545232240