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1016065853040 = 2435719319771051
BaseRepresentation
bin11101100100100100011…
…11101000011001110000
310121010122101011022200010
432302102033220121300
5113121400324244130
62054435121254520
7133260026151510
oct16622217503160
93533571138603
101016065853040
11361a0275a097
12144b06494440
1374a7889ab64
143726c03b840
151b66be190b0
hexec923e8670

1016065853040 has 640 divisors, whose sum is σ = 3919200583680. Its totient is φ = 212502528000.

The previous prime is 1016065853017. The next prime is 1016065853053. The reversal of 1016065853040 is 403585606101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016065853040.

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 127 ways as a sum of consecutive naturals, for example, 966760515 + ... + 966761565.

It is an arithmetic number, because the mean of its divisors is an integer number (6123750912).

Almost surely, 21016065853040 is an apocalyptic number.

1016065853040 is a gapful number since it is divisible by the number (10) 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 1016065853040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959600291840).

1016065853040 is an abundant number, since it is smaller than the sum of its proper divisors (2903134730640).

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

1016065853040 is a wasteful number, since it uses less digits than its factorization.

1016065853040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 1016065853040 in words is "one trillion, sixteen billion, sixty-five million, eight hundred fifty-three thousand, forty".