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1016244620424 = 23321115119344029
BaseRepresentation
bin11101100100111001110…
…01100100110010001000
310121011002211112122102100
432302130321210302020
5113122232110323144
62054504545033400
7133264326514305
oct16623471446210
93534084478370
101016244620424
11361a9465a730
12144b56325860
1374aa692c987
1437287a940ac
151b67c97c269
hexec9ce64c88

1016244620424 has 192 divisors, whose sum is σ = 3038154537600. Its totient is φ = 304321536000.

The previous prime is 1016244620401. The next prime is 1016244620429. The reversal of 1016244620424 is 4240264426101.

1016244620424 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 4 + 4 + 620 + 4 + 24 = 666.

It is a super-3 number, since 3×10162446204243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1016244620429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23059242 + ... + 23103270.

It is an arithmetic number, because the mean of its divisors is an integer number (15823721550).

Almost surely, 21016244620424 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 1016244620424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519077268800).

1016244620424 is an abundant number, since it is smaller than the sum of its proper divisors (2021909917176).

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

1016244620424 is a wasteful number, since it uses less digits than its factorization.

1016244620424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44396 (or 44389 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1016244620424 in words is "one trillion, sixteen billion, two hundred forty-four million, six hundred twenty thousand, four hundred twenty-four".