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10531444640 = 255193464291
BaseRepresentation
bin10011100111011100…
…10001011110100000
31000011221202211010012
421303232101132200
5133032022212030
64501005224052
7521656542143
oct116356213640
930157684105
1010531444640
1145147a9262
12205ab62028
13cbab31c62
1471c98205a
15419888095
hex273b917a0

10531444640 has 48 divisors (see below), whose sum is σ = 26190047520. Its totient is φ = 3990862080.

The previous prime is 10531444603. The next prime is 10531444657. The reversal of 10531444640 is 4644413501.

10531444640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105314446402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10531444597 and 10531444606.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1729106 + ... + 1735185.

It is an arithmetic number, because the mean of its divisors is an integer number (545625990).

Almost surely, 210531444640 is an apocalyptic number.

10531444640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10531444640 is an abundant number, since it is smaller than the sum of its proper divisors (15658602880).

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

10531444640 is a wasteful number, since it uses less digits than its factorization.

10531444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464325 (or 3464317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10531444640 in words is "ten billion, five hundred thirty-one million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3464291 6928582 13857164 17321455 27714328 34642910 55428656 65821529 69285820 110857312 131643058 138571640 263286116 277143280 329107645 526572232 554286560 658215290 1053144464 1316430580 2106288928 2632861160 5265722320 10531444640