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5725151460 = 22325797139337
BaseRepresentation
bin1010101010011111…
…01110000011100100
3112202222212211100200
411111033232003210
543211114321320
62344033510500
7261605661450
oct52517560344
915688784320
105725151460
112478776036
121139412430
137031660b2
143c4505660
15237946290
hex1553ee0e4

5725151460 has 288 divisors, whose sum is σ = 20255988480. Its totient is φ = 1281982464.

The previous prime is 5725151447. The next prime is 5725151461. The reversal of 5725151460 is 641515275.

5725151460 is a `hidden beast` number, since 5 + 72 + 515 + 14 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5725151461) 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 95 ways as a sum of consecutive naturals, for example, 16988412 + ... + 16988748.

Almost surely, 25725151460 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 5725151460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127994240).

5725151460 is an abundant number, since it is smaller than the sum of its proper divisors (14530837020).

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

5725151460 is a wasteful number, since it uses less digits than its factorization.

5725151460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5725151460 is about 75664.7306213403. The cubic root of 5725151460 is about 1788.9395276971.

The spelling of 5725151460 in words is "five billion, seven hundred twenty-five million, one hundred fifty-one thousand, four hundred sixty".