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1376387712 = 273272341181
BaseRepresentation
bin101001000001010…
…0000001010000000
310112220220201222200
41102002200022000
510304323401322
6344324433200
746052050110
oct12202401200
93486821880
101376387712
11646a31507
12324b48800
1318c2020cb
14d0b27040
1580c7d8ac
hex520a0280

1376387712 has 384 divisors, whose sum is σ = 4865253120. Its totient is φ = 364953600.

The previous prime is 1376387681. The next prime is 1376387777. The reversal of 1376387712 is 2177836731.

1376387712 is a `hidden beast` number, since 1 + 3 + 7 + 638 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7604262 + ... + 7604442.

It is an arithmetic number, because the mean of its divisors is an integer number (12669930).

Almost surely, 21376387712 is an apocalyptic number.

1376387712 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 1376387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432626560).

1376387712 is an abundant number, since it is smaller than the sum of its proper divisors (3488865408).

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

1376387712 is a wasteful number, since it uses less digits than its factorization.

1376387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 1376387712 is about 37099.6996214255. The cubic root of 1376387712 is about 1112.3640096704.

It can be divided in two parts, 13763 and 87712, that added together give a triangular number (101475 = T450).

The spelling of 1376387712 in words is "one billion, three hundred seventy-six million, three hundred eighty-seven thousand, seven hundred twelve".