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268212971448 = 23323725180159
BaseRepresentation
bin1111100111001010111…
…1010010011110111000
3221122022020000200001100
43321302233102132320
513343300010041243
6323114302451400
725243365432612
oct3716257223670
9848266020040
10268212971448
11a3826259274
1243b93b93b60
131c3a5468986
14cda5639db2
156e9bc400d3
hex3e72bd27b8

268212971448 has 24 divisors (see below), whose sum is σ = 726410131200. Its totient is φ = 89404323792.

The previous prime is 268212971441. The next prime is 268212971483. The reversal of 268212971448 is 844179212862.

268212971448 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 129 + 71 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 268212971394 and 268212971403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268212971441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1862590008 + ... + 1862590151.

It is an arithmetic number, because the mean of its divisors is an integer number (30267088800).

Almost surely, 2268212971448 is an apocalyptic number.

It is an amenable number.

268212971448 is an abundant number, since it is smaller than the sum of its proper divisors (458197159752).

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

268212971448 is a wasteful number, since it uses less digits than its factorization.

268212971448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725180171 (or 3725180164 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 268212971448 in words is "two hundred sixty-eight billion, two hundred twelve million, nine hundred seventy-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3725180159 7450360318 11175540477 14900720636 22351080954 29801441272 33526621431 44702161908 67053242862 89404323816 134106485724 268212971448