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1375494912 = 28331179229
BaseRepresentation
bin101000111111100…
…0110001100000000
310112212020101022000
41101333012030000
510304111314122
6344253344000
746041341151
oct12177061400
93485211260
101375494912
11646481760
12324798000
1318bc7b91c
14d0973928
1580b540ac
hex51fc6300

1375494912 has 288 divisors, whose sum is σ = 4513152000. Its totient is φ = 409743360.

The previous prime is 1375494821. The next prime is 1375494919. The reversal of 1375494912 is 2194945731.

1375494912 is a `hidden beast` number, since 1 + 3 + 75 + 494 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (272160) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (1375494919) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6006414 + ... + 6006642.

Almost surely, 21375494912 is an apocalyptic number.

1375494912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375494912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256576000).

1375494912 is an abundant number, since it is smaller than the sum of its proper divisors (3137657088).

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

1375494912 is a wasteful number, since it uses less digits than its factorization.

1375494912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1375494912 is about 37087.6652271345. The cubic root of 1375494912 is about 1112.1234443639.

The spelling of 1375494912 in words is "one billion, three hundred seventy-five million, four hundred ninety-four thousand, nine hundred twelve".