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48499672320 = 28335111131129
BaseRepresentation
bin101101001010110011…
…100100010100000000
311122012000200121222000
4231022303210110000
51243311404003240
634140324144000
73334603261401
oct551263442400
9148160617860
1048499672320
1119628889720
129496538000
13475bc94578
1424c13839a8
1513dccd3430
hexb4ace4500

48499672320 has 576 divisors, whose sum is σ = 189581817600. Its totient is φ = 11643125760.

The previous prime is 48499672313. The next prime is 48499672349. The reversal of 48499672320 is 2327699484.

48499672320 is a `hidden beast` number, since 484 + 9 + 96 + 72 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42957516 + ... + 42958644.

It is an arithmetic number, because the mean of its divisors is an integer number (329135100).

Almost surely, 248499672320 is an apocalyptic number.

48499672320 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 48499672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94790908800).

48499672320 is an abundant number, since it is smaller than the sum of its proper divisors (141082145280).

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

48499672320 is a wasteful number, since it uses less digits than its factorization.

48499672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 48499672320 in words is "forty-eight billion, four hundred ninety-nine million, six hundred seventy-two thousand, three hundred twenty".