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2053530020032 = 26318211260713
BaseRepresentation
bin11101111000011111111…
…011010110100011000000
321021022112001000121201121
4131320133323112203000
5232121112141120112
64211213443042024
7301235250111301
oct35703773264300
97238461017647
102053530020032
11721996185167
12291ba3070314
1311b85475183a
1471569d547a8
153863c70e407
hex1de1fed68c0

2053530020032 has 56 divisors (see below), whose sum is σ = 4211551274112. Its totient is φ = 992432486400.

The previous prime is 2053530019991. The next prime is 2053530020033. The reversal of 2053530020032 is 2300200353502.

It is a junction number, because it is equal to n+sod(n) for n = 2053530019979 and 2053530020006.

It is not an unprimeable number, because it can be changed into a prime (2053530020033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998508 + ... + 2259220.

It is an arithmetic number, because the mean of its divisors is an integer number (75206272752).

Almost surely, 22053530020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053530020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105775637056).

2053530020032 is an abundant number, since it is smaller than the sum of its proper divisors (2158021254080).

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

2053530020032 is a wasteful number, since it uses less digits than its factorization.

2053530020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261577 (or 1261567 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

Adding to 2053530020032 its reverse (2300200353502), we get a palindrome (4353730373534).

The spelling of 2053530020032 in words is "two trillion, fifty-three billion, five hundred thirty million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 821 992 1642 1984 3284 6568 13136 25451 26272 50902 52544 101804 203608 407216 814432 1260713 1628864 2521426 5042852 10085704 20171408 39082103 40342816 78164206 80685632 156328412 312656824 625313648 1035045373 1250627296 2070090746 2501254592 4140181492 8280362984 16560725968 32086406563 33121451936 64172813126 66242903872 128345626252 256691252504 513382505008 1026765010016 2053530020032