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48459755520 = 2123351131257
BaseRepresentation
bin101101001000011011…
…010011000000000000
311122002020120122102000
4231020123103000000
51243221144134040
634132340424000
73333610061031
oct551033230000
9148066518360
1048459755520
11196082a5630
1294850a8000
134753929867
1424b9d52a88
1513d954b130
hexb486d3000

48459755520 has 832 divisors, whose sum is σ = 194759700480. Its totient is φ = 11324620800.

The previous prime is 48459755507. The next prime is 48459755543. The reversal of 48459755520 is 2555795484.

48459755520 is a `hidden beast` number, since 4 + 8 + 45 + 9 + 75 + 5 + 520 = 666.

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, 188559232 + ... + 188559488.

Almost surely, 248459755520 is an apocalyptic number.

48459755520 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 48459755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97379850240).

48459755520 is an abundant number, since it is smaller than the sum of its proper divisors (146299944960).

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

48459755520 is a wasteful number, since it uses less digits than its factorization.

48459755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 48459755520 in words is "forty-eight billion, four hundred fifty-nine million, seven hundred fifty-five thousand, five hundred twenty".