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1381625856 = 2123313312
BaseRepresentation
bin101001001011001…
…1111000000000000
310120021202212101000
41102112133000000
510312144011411
6345033012000
746144424502
oct12226370000
93507685330
101381625856
11649989a56
12326854000
131903173c0
14d16cbd72
1581465956
hex5259f000

1381625856 has 312 divisors, whose sum is σ = 4554851280. Its totient is φ = 411402240.

The previous prime is 1381625809. The next prime is 1381625857. The reversal of 1381625856 is 6585261831.

1381625856 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 62 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (345600) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381625857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44568561 + ... + 44568591.

Almost surely, 21381625856 is an apocalyptic number.

1381625856 is a gapful number since it is divisible by the number (16) 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 1381625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277425640).

1381625856 is an abundant number, since it is smaller than the sum of its proper divisors (3173225424).

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

1381625856 is an equidigital number, since it uses as much as digits as its factorization.

1381625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1381625856 is about 37170.2280864673. The cubic root of 1381625856 is about 1113.7733380592.

The spelling of 1381625856 in words is "one billion, three hundred eighty-one million, six hundred twenty-five thousand, eight hundred fifty-six".