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48267194976 = 253771113253
BaseRepresentation
bin101100111100111100…
…101111001001100000
311121120211020120000000
4230330330233021200
51242322400214401
634101301300000
73326051250030
oct547474571140
9147524216000
1048267194976
1119519633a90
129430704600
134722a78800
14249c5498c0
1513c76b1186
hexb3cf2f260

48267194976 has 1152 divisors, whose sum is σ = 196033582080. Its totient is φ = 11354204160.

The previous prime is 48267194953. The next prime is 48267194981. The reversal of 48267194976 is 67949176284.

48267194976 is a `hidden beast` number, since 4 + 82 + 67 + 1 + 9 + 497 + 6 = 666.

It is a super-2 number, since 2×482671949762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36578304) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910701766 + ... + 910701818.

It is an arithmetic number, because the mean of its divisors is an integer number (170168040).

Almost surely, 248267194976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48267194976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98016791040).

48267194976 is an abundant number, since it is smaller than the sum of its proper divisors (147766387104).

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

48267194976 is a wasteful number, since it uses less digits than its factorization.

48267194976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 48267194976 in words is "forty-eight billion, two hundred sixty-seven million, one hundred ninety-four thousand, nine hundred seventy-six".