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48846924672 = 2737131817723
BaseRepresentation
bin101101011111100000…
…001110101110000000
311200002020002212122020
4231133200032232000
51300014303042142
634235011041440
73346321003050
oct553740165600
9150066085566
1048846924672
11197968a7537
1295728a0280
1347b5bc7c30
142515537560
15140d527cec
hexb5f80eb80

48846924672 has 256 divisors, whose sum is σ = 160594936320. Its totient is φ = 12809871360.

The previous prime is 48846924631. The next prime is 48846924673. The reversal of 48846924672 is 27642964884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48846924673) by changing a digit.

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, 6321003 + ... + 6328725.

It is an arithmetic number, because the mean of its divisors is an integer number (627323970).

Almost surely, 248846924672 is an apocalyptic number.

48846924672 is a gapful number since it is divisible by the number (42) 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 48846924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80297468160).

48846924672 is an abundant number, since it is smaller than the sum of its proper divisors (111748011648).

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

48846924672 is a wasteful number, since it uses less digits than its factorization.

48846924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7929 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 48846924672 in words is "forty-eight billion, eight hundred forty-six million, nine hundred twenty-four thousand, six hundred seventy-two".