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48162074688 = 2633713615021
BaseRepresentation
bin101100110110101011…
…101111000001000000
311121022111102220002000
4230312223233001000
51242113442342223
634043024224000
73323333610630
oct546653570100
9147274386060
1048162074688
1119475265612
12940146b000
134707061560
14248c5c46c0
1513bd349543
hexb36aef040

48162074688 has 448 divisors, whose sum is σ = 177153661440. Its totient is φ = 12491366400.

The previous prime is 48162074683. The next prime is 48162074693. The reversal of 48162074688 is 88647026184.

48162074688 is a `hidden beast` number, since 4 + 8 + 1 + 620 + 7 + 4 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48162074683) and next prime (48162074693).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (48162074683) 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 63 ways as a sum of consecutive naturals, for example, 9589618 + ... + 9594638.

It is an arithmetic number, because the mean of its divisors is an integer number (395432280).

Almost surely, 248162074688 is an apocalyptic number.

48162074688 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 48162074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88576830720).

48162074688 is an abundant number, since it is smaller than the sum of its proper divisors (128991586752).

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

48162074688 is a wasteful number, since it uses less digits than its factorization.

48162074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 48162074688 in words is "forty-eight billion, one hundred sixty-two million, seventy-four thousand, six hundred eighty-eight".