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2121357528 = 23322331343
BaseRepresentation
bin111111001110001…
…0101100011011000
312110211201010110100
41332130111203120
513321031420103
6550300015400
7103366145553
oct17634254330
95424633410
102121357528
119994a6344
124b2531560
1327a658154
14161a4969a
15c63855a3
hex7e7158d8

2121357528 has 192 divisors, whose sum is σ = 6339041280. Its totient is φ = 639334080.

The previous prime is 2121357527. The next prime is 2121357541. The reversal of 2121357528 is 8257531212.

2121357528 is a `hidden beast` number, since 2 + 121 + 3 + 5 + 7 + 528 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2121357492 and 2121357501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121357527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49333875 + ... + 49333917.

It is an arithmetic number, because the mean of its divisors is an integer number (33015840).

Almost surely, 22121357528 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 2121357528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169520640).

2121357528 is an abundant number, since it is smaller than the sum of its proper divisors (4217683752).

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

2121357528 is a wasteful number, since it uses less digits than its factorization.

2121357528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2121357528 is about 46058.1971857345. The cubic root of 2121357528 is about 1284.9058010050.

The spelling of 2121357528 in words is "two billion, one hundred twenty-one million, three hundred fifty-seven thousand, five hundred twenty-eight".