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10532515314640 = 2451111968767403
BaseRepresentation
bin1001100101000100101011…
…0101010111101111010000
31101021220021002202002110111
42121101022311113233100
52340031042410032030
634222323140211104
72134643356004434
oct231211265275720
941256232662414
1010532515314640
1133a08a6349680
121221332099a94
135b529a800437
14285ac28769c4
15133e9540362a
hex9944ad57bd0

10532515314640 has 40 divisors (see below), whose sum is σ = 26714288845728. Its totient is φ = 3830005568640.

The previous prime is 10532515314631. The next prime is 10532515314653. The reversal of 10532515314640 is 4641351523501.

10532515314640 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 (40).

It is a super-3 number, since 3×105325153146403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10532515314593 and 10532515314602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5984382822 + ... + 5984384581.

Almost surely, 210532515314640 is an apocalyptic number.

10532515314640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10532515314640 is an abundant number, since it is smaller than the sum of its proper divisors (16181773531088).

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

10532515314640 is a wasteful number, since it uses less digits than its factorization.

10532515314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968767427 (or 11968767421 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 10532515314640 in words is "ten trillion, five hundred thirty-two billion, five hundred fifteen million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11968767403 23937534806 47875069612 59843837015 95750139224 119687674030 131656441433 191500278448 239375348060 263312882866 478750696120 526625765732 658282207165 957501392240 1053251531464 1316564414330 2106503062928 2633128828660 5266257657320 10532515314640