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48316392960 = 2935112392393
BaseRepresentation
bin101100111111111000…
…011010011000000000
311121201020211001221120
4230333320122120000
51242422444033320
634110215552240
73330216364263
oct547770323000
9147636731846
1048316392960
1119544387180
12944508b680
134730012b44
1424a4cb4cda
1513cbb7d440
hexb3fe1a600

48316392960 has 320 divisors, whose sum is σ = 169279165440. Its totient is φ = 11659182080.

The previous prime is 48316392907. The next prime is 48316393001. The reversal of 48316392960 is 6929361384.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20189524 + ... + 20191916.

It is an arithmetic number, because the mean of its divisors is an integer number (528997392).

Almost surely, 248316392960 is an apocalyptic number.

48316392960 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 48316392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84639582720).

48316392960 is an abundant number, since it is smaller than the sum of its proper divisors (120962772480).

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

48316392960 is a wasteful number, since it uses less digits than its factorization.

48316392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 48316392960 in words is "forty-eight billion, three hundred sixteen million, three hundred ninety-two thousand, nine hundred sixty".