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276292442816 = 26131063312401
BaseRepresentation
bin1000000010101000101…
…00000001101011000000
3222102011021222100011122
410001110110001223000
514011321331132231
6330532121531412
725650533004665
oct4012424015300
9872137870148
10276292442816
11a71a1976735
1245669943b68
13200922b5670
14d5306ada6c
1572c11d777b
hex4054501ac0

276292442816 has 56 divisors (see below), whose sum is σ = 590999604384. Its totient is φ = 127399219200.

The previous prime is 276292442813. The next prime is 276292442843. The reversal of 276292442816 is 618244292672.

It is not an unprimeable number, because it can be changed into a prime (276292442813) 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 7 ways as a sum of consecutive naturals, for example, 728216 + ... + 1040616.

It is an arithmetic number, because the mean of its divisors is an integer number (10553564364).

Almost surely, 2276292442816 is an apocalyptic number.

276292442816 is a gapful number since it is divisible by the number (26) 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 276292442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295499802192).

276292442816 is an abundant number, since it is smaller than the sum of its proper divisors (314707161568).

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

276292442816 is a wasteful number, since it uses less digits than its factorization.

276292442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313489 (or 313479 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 53.

The spelling of 276292442816 in words is "two hundred seventy-six billion, two hundred ninety-two million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1063 2126 4252 8504 13819 17008 27638 34016 55276 68032 110552 221104 312401 442208 624802 884416 1249604 2499208 4061213 4998416 8122426 9996832 16244852 19993664 32489704 64979408 129958816 259917632 332082263 664164526 1328329052 2656658104 4317069419 5313316208 8634138838 10626632416 17268277676 21253264832 34536555352 69073110704 138146221408 276292442816