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486244000880 = 2451119474331429
BaseRepresentation
bin1110001001101100110…
…01101010010001110000
31201111002011212112221122
413010312121222101300
530431311431012010
61011213304241412
750062402545551
oct7046631522160
91644064775848
10486244000880
11178240075790
127a2a2170268
1336b11260b21
141976a304328
15c9ad14b855
hex713666a470

486244000880 has 320 divisors, whose sum is σ = 1329814886400. Its totient is φ = 163452764160.

The previous prime is 486244000859. The next prime is 486244000901. The reversal of 486244000880 is 88000442684.

486244000880 = T1 + T2 + ... + T14288.

It is a happy number.

486244000880 is a nontrivial binomial coefficient, being equal to C(14290, 3).

It is an interprime number because it is at equal distance from previous prime (486244000859) and next prime (486244000901).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is the 14288-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340268006 + ... + 340269434.

It is an arithmetic number, because the mean of its divisors is an integer number (4155671520).

Almost surely, 2486244000880 is an apocalyptic number.

486244000880 is a gapful number since it is divisible by the number (40) 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 486244000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664907443200).

486244000880 is an abundant number, since it is smaller than the sum of its proper divisors (843570885520).

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

486244000880 is a wasteful number, since it uses less digits than its factorization.

486244000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The spelling of 486244000880 in words is "four hundred eighty-six billion, two hundred forty-four million, eight hundred eighty", and thus it is an aban number.