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1375208064 = 27331789263
BaseRepresentation
bin101000111111000…
…0000001010000000
310112211200210211000
41101332000022000
510304023124224
6344243252000
746036034646
oct12176001200
93484623730
101375208064
116462a619a
1232467a000
1318bbab1a9
14d08db196
1580ae90c9
hex51f80280

1375208064 has 256 divisors, whose sum is σ = 4362336000. Its totient is φ = 424968192.

The previous prime is 1375208027. The next prime is 1375208077. The reversal of 1375208064 is 4608025731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5228797 + ... + 5229059.

It is an arithmetic number, because the mean of its divisors is an integer number (17040375).

Almost surely, 21375208064 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 1375208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181168000).

1375208064 is an abundant number, since it is smaller than the sum of its proper divisors (2987127936).

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

1375208064 is a wasteful number, since it uses less digits than its factorization.

1375208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1375208064 is about 37083.7978637572. The cubic root of 1375208064 is about 1112.0461309641.

The spelling of 1375208064 in words is "one billion, three hundred seventy-five million, two hundred eight thousand, sixty-four".