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5475575040 = 2835131923251
BaseRepresentation
bin1010001100101111…
…01010010100000000
3112010121021000212120
411012113222110000
542203221400130
62303200324240
7252455422425
oct50627522400
915117230776
105475575040
11235a901631
121089913680
13693541440
1439d2d9d4c
15220a97910
hex1465ea500

5475575040 has 576 divisors, whose sum is σ = 20768348160. Its totient is φ = 1216512000.

The previous prime is 5475575023. The next prime is 5475575071. The reversal of 5475575040 is 405755745.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5475574983 and 5475575001.

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 63 ways as a sum of consecutive naturals, for example, 21814915 + ... + 21815165.

It is an arithmetic number, because the mean of its divisors is an integer number (36056160).

Almost surely, 25475575040 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 5475575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384174080).

5475575040 is an abundant number, since it is smaller than the sum of its proper divisors (15292773120).

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

5475575040 is a wasteful number, since it uses less digits than its factorization.

5475575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The square root of 5475575040 is about 73997.1285929393. The cubic root of 5475575040 is about 1762.5573016932.

It can be divided in two parts, 54755 and 75040, that added together give a triangular number (129795 = T509).

The spelling of 5475575040 in words is "five billion, four hundred seventy-five million, five hundred seventy-five thousand, forty".