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10535655440 = 245131695693
BaseRepresentation
bin10011100111111100…
…10101100000010000
31000012020200202020202
421303332111200100
5133034111433230
64501235354332
7522040410422
oct116376254020
930166622222
1010535655440
114517114962
1220604529a8
13cbb97775b
1471d35a812
15419e1aa45
hex273f95810

10535655440 has 20 divisors (see below), whose sum is σ = 24495399084. Its totient is φ = 4214262144.

The previous prime is 10535655413. The next prime is 10535655461. The reversal of 10535655440 is 4455653501.

It can be written as a sum of positive squares in 2 ways, for example, as 7601049856 + 2934605584 = 87184^2 + 54172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105356554402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535655394 and 10535655403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65847767 + ... + 65847926.

Almost surely, 210535655440 is an apocalyptic number.

10535655440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535655440 is an abundant number, since it is smaller than the sum of its proper divisors (13959743644).

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

10535655440 is a wasteful number, since it uses less digits than its factorization.

10535655440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131695706 (or 131695700 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 10535655440 in words is "ten billion, five hundred thirty-five million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131695693 263391386 526782772 658478465 1053565544 1316956930 2107131088 2633913860 5267827720 10535655440