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275012394048 = 26337139163567
BaseRepresentation
bin1000000000010000000…
…01000001110001000000
3222021212002100010101000
410000020001001301000
514001211133102143
6330201114012000
725604030531250
oct4001001016100
9867762303330
10275012394048
11a66a5366097
1245371117000
131cc1a044862
14d44c6a3960
157248b38bd3
hex4008041c40

275012394048 has 224 divisors, whose sum is σ = 930636492800. Its totient is φ = 78009205248.

The previous prime is 275012394031. The next prime is 275012394049. The reversal of 275012394048 is 840493210572.

275012394048 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 1 + 239 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 275012393994 and 275012394012.

It is not an unprimeable number, because it can be changed into a prime (275012394049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1599561 + ... + 1763127.

It is an arithmetic number, because the mean of its divisors is an integer number (4154627200).

Almost surely, 2275012394048 is an apocalyptic number.

275012394048 is a gapful number since it is divisible by the number (28) 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 275012394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465318246400).

275012394048 is an abundant number, since it is smaller than the sum of its proper divisors (655624098752).

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

275012394048 is a wasteful number, since it uses less digits than its factorization.

275012394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163734 (or 163718 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275012394048 in words is "two hundred seventy-five billion, twelve million, three hundred ninety-four thousand, forty-eight".