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1053036159840 = 2532571722872687
BaseRepresentation
bin11110101001011011101…
…10001010001101100000
310201200001220022111102100
433110231312022031200
5114223104224103330
62123431431250400
7136036134446520
oct17245566121540
93650056274370
101053036159840
11376654506855
12150103819a00
13783bb070742
1438d780b3680
151c5d2944060
hexf52dd8a360

1053036159840 has 576 divisors, whose sum is σ = 4351940296704. Its totient is φ = 226352185344.

The previous prime is 1053036159767. The next prime is 1053036159841. The reversal of 1053036159840 is 489516303501.

1053036159840 is a `hidden beast` number, since 1 + 0 + 53 + 0 + 3 + 6 + 1 + 598 + 4 + 0 = 666.

1053036159840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530361598402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053036159841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391898977 + ... + 391901663.

It is an arithmetic number, because the mean of its divisors is an integer number (7555451904).

Almost surely, 21053036159840 is an apocalyptic number.

1053036159840 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 1053036159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175970148352).

1053036159840 is an abundant number, since it is smaller than the sum of its proper divisors (3298904136864).

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

1053036159840 is a wasteful number, since it uses less digits than its factorization.

1053036159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1053036159840 in words is "one trillion, fifty-three billion, thirty-six million, one hundred fifty-nine thousand, eight hundred forty".