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48460273920 = 2833561127181
BaseRepresentation
bin101101001000011101…
…010001100100000000
311122002021112222112000
4231020131101210000
51243221312231140
634132355504000
73333614350302
oct551035214400
9148067488460
1048460273920
111960861a063
1294852b8000
134753a7b7c6
1424ba049972
1513d95eea30
hexb48751900

48460273920 has 576 divisors, whose sum is σ = 177135329280. Its totient is φ = 12541132800.

The previous prime is 48460273909. The next prime is 48460273963. The reversal of 48460273920 is 2937206484.

48460273920 is a `hidden beast` number, since 4 + 8 + 4 + 602 + 7 + 39 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267736230 + ... + 267736410.

Almost surely, 248460273920 is an apocalyptic number.

48460273920 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 48460273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88567664640).

48460273920 is an abundant number, since it is smaller than the sum of its proper divisors (128675055360).

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

48460273920 is a wasteful number, since it uses less digits than its factorization.

48460273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48460273920 in words is "forty-eight billion, four hundred sixty million, two hundred seventy-three thousand, nine hundred twenty".