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48484130688 = 2733719313337
BaseRepresentation
bin101101001001111000…
…010001111110000000
311122010221110000212000
4231021320101332000
51243243414140223
634135011104000
73334324211460
oct551170217600
9148127400760
1048484130688
1119620033aa4
1294912a2000
1347589b2536
1424bd299ba0
1513db763543
hexb49e11f80

48484130688 has 512 divisors, whose sum is σ = 173207424000. Its totient is φ = 13042778112.

The previous prime is 48484130671. The next prime is 48484130711. The reversal of 48484130688 is 88603148484.

48484130688 is a `hidden beast` number, since 484 + 84 + 1 + 3 + 0 + 6 + 88 = 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, 143869656 + ... + 143869992.

It is an arithmetic number, because the mean of its divisors is an integer number (338295750).

Almost surely, 248484130688 is an apocalyptic number.

48484130688 is a gapful number since it is divisible by the number (48) 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 48484130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86603712000).

48484130688 is an abundant number, since it is smaller than the sum of its proper divisors (124723293312).

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

48484130688 is a wasteful number, since it uses less digits than its factorization.

48484130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 48484130688 in words is "forty-eight billion, four hundred eighty-four million, one hundred thirty thousand, six hundred eighty-eight".