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1016211480064 = 29112831071847
BaseRepresentation
bin11101100100110101110…
…11001001111000000000
310121011000112011221101121
432302122323021320000
5113122200114330224
62054501402442024
7133263445026214
oct16623273117000
93534015157347
101016211480064
11361a77984900
12144b47203314
1374a9cac84b1
1437283508944
151b679ad2be4
hexec9aec9e00

1016211480064 has 240 divisors, whose sum is σ = 2281036754304. Its totient is φ = 451839365120.

The previous prime is 1016211480049. The next prime is 1016211480071. The reversal of 1016211480064 is 4600841126101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 550194789 + ... + 550196635.

Almost surely, 21016211480064 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 1016211480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140518377152).

1016211480064 is an abundant number, since it is smaller than the sum of its proper divisors (1264825274240).

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

1016211480064 is a wasteful number, since it uses less digits than its factorization.

1016211480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 1016211480064 in words is "one trillion, sixteen billion, two hundred eleven million, four hundred eighty thousand, sixty-four".