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1411536672 = 253371321381
BaseRepresentation
bin101010000100010…
…0101011100100000
310122101001111022000
41110020211130200
510342323133142
6352022044000
746656602160
oct12410453440
93571044260
101411536672
11664859437
12334879600
1319658a900
14d56765a0
1583dc314c
hex54225720

1411536672 has 288 divisors, whose sum is σ = 5098584960. Its totient is φ = 372003840.

The previous prime is 1411536667. The next prime is 1411536677. The reversal of 1411536672 is 2766351141.

It is an interprime number because it is at equal distance from previous prime (1411536667) and next prime (1411536677).

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

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

It is not an unprimeable number, because it can be changed into a prime (1411536677) 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 47 ways as a sum of consecutive naturals, for example, 1021422 + ... + 1022802.

It is an arithmetic number, because the mean of its divisors is an integer number (17703420).

Almost surely, 21411536672 is an apocalyptic number.

1411536672 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 1411536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549292480).

1411536672 is an abundant number, since it is smaller than the sum of its proper divisors (3687048288).

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

1411536672 is a wasteful number, since it uses less digits than its factorization.

1411536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1406 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1411536672 is about 37570.4228349908. The cubic root of 1411536672 is about 1121.7533845580.

The spelling of 1411536672 in words is "one billion, four hundred eleven million, five hundred thirty-six thousand, six hundred seventy-two".