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2153141550 = 23252723113263
BaseRepresentation
bin1000000001010110…
…0101010100101110
312120001111220221100
42000111211110232
513402201012200
6553353143530
7104233254420
oct20025452456
95501456840
102153141550
11a0543512a
125010baba6
13284106171
14165d60810
15c9062d00
hex8056552e

2153141550 has 288 divisors, whose sum is σ = 6986124288. Its totient is φ = 464808960.

The previous prime is 2153141531. The next prime is 2153141563. The reversal of 2153141550 is 551413512.

2153141550 is a `hidden beast` number, since 21 + 53 + 1 + 41 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8186719 + ... + 8186981.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 22153141550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153141550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493062144).

2153141550 is an abundant number, since it is smaller than the sum of its proper divisors (4832982738).

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

2153141550 is a wasteful number, since it uses less digits than its factorization.

2153141550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2153141550 is about 46401.9563165175. The cubic root of 2153141550 is about 1291.2912076031.

The spelling of 2153141550 in words is "two billion, one hundred fifty-three million, one hundred forty-one thousand, five hundred fifty".