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10527219340 = 2251153902849
BaseRepresentation
bin10011100110111100…
…01001111010001100
31000011122211011002121
421303132021322030
5133024432004330
64500334502324
7521605613401
oct116336117214
930148734077
1010527219340
114512382780
1220596649a4
13cb9cb2991
1471c1a22a8
1541930117a
hex273789e8c

10527219340 has 48 divisors (see below), whose sum is σ = 24571965600. Its totient is φ = 3755847680.

The previous prime is 10527219337. The next prime is 10527219361. The reversal of 10527219340 is 4391272501.

It is a happy number.

It is a super-2 number, since 2×105272193402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10527219296 and 10527219305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439765 + ... + 463084.

It is an arithmetic number, because the mean of its divisors is an integer number (511915950).

Almost surely, 210527219340 is an apocalyptic number.

10527219340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10527219340 is an abundant number, since it is smaller than the sum of its proper divisors (14044746260).

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

10527219340 is a wasteful number, since it uses less digits than its factorization.

10527219340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902922 (or 902920 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10527219340 in words is "ten billion, five hundred twenty-seven million, two hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 902849 1805698 3611396 4514245 9028490 9931339 18056980 19862678 39725356 47850997 49656695 95701994 99313390 191403988 198626780 239254985 478509970 526360967 957019940 1052721934 2105443868 2631804835 5263609670 10527219340