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2053081536 = 263112671319
BaseRepresentation
bin111101001011111…
…1000100111000000
312022002020100101220
41322113320213000
513201042102121
6535420355040
7101606622312
oct17227704700
95262210356
102053081536
11963a02600
124936a5a80
1326947125c
141569557b2
15c039a6c6
hex7a5f89c0

2053081536 has 168 divisors, whose sum is σ = 6064544640. Its totient is φ = 612395520.

The previous prime is 2053081523. The next prime is 2053081549. The reversal of 2053081536 is 6351803502.

2053081536 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2053081523) and next prime (2053081549).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2053081497 and 2053081506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555885 + ... + 1557203.

It is an arithmetic number, because the mean of its divisors is an integer number (36098480).

Almost surely, 22053081536 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 2053081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032272320).

2053081536 is an abundant number, since it is smaller than the sum of its proper divisors (4011463104).

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

2053081536 is a wasteful number, since it uses less digits than its factorization.

2053081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2053081536 is about 45310.9427842767. The cubic root of 2053081536 is about 1270.9702912156.

The spelling of 2053081536 in words is "two billion, fifty-three million, eighty-one thousand, five hundred thirty-six".