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48016781013060 = 223351720441255887
BaseRepresentation
bin10101110101011110001110…
…01011001111000001000100
320022000100201000202012111000
422322233013023033001010
522243201331414404220
6250042334335413300
713054045411240266
oct1272570713170104
9208010630665430
1048016781013060
11143328910a5842
125475b82984230
1320a3c699aa742
14bc004b711b36
1558405eeee390
hex2babc72cf044

48016781013060 has 192 divisors, whose sum is σ = 158181281879040. Its totient is φ = 12050633871360.

The previous prime is 48016781013049. The next prime is 48016781013101. The reversal of 48016781013060 is 6031018761084.

48016781013060 is a `hidden beast` number, since 4 + 80 + 167 + 8 + 101 + 306 + 0 = 666.

48016781013060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×480167810130602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48016781012997 and 48016781013015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187520437 + ... + 187776323.

It is an arithmetic number, because the mean of its divisors is an integer number (823860843120).

Almost surely, 248016781013060 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 48016781013060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79090640939520).

48016781013060 is an abundant number, since it is smaller than the sum of its proper divisors (110164500865980).

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

48016781013060 is a wasteful number, since it uses less digits than its factorization.

48016781013060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276363 (or 276355 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 48016781013060 in words is "forty-eight trillion, sixteen billion, seven hundred eighty-one million, thirteen thousand, sixty".