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1061532644040 = 2332511192742559
BaseRepresentation
bin11110111001010000100…
…01101011001011001000
310202111000000221121121100
433130220101223023020
5114343004324102130
62131354504341400
7136456524411501
oct17345021531310
93674000847540
101061532644040
1137a21455a120
12151895174860
137914340759b
1439542699ba8
151c92d810c60
hexf72846b2c8

1061532644040 has 288 divisors, whose sum is σ = 3972131654400. Its totient is φ = 243796642560.

The previous prime is 1061532644033. The next prime is 1061532644101. The reversal of 1061532644040 is 404462351601.

1061532644040 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 3 + 2 + 644 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10615326440402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1061532643986 and 1061532644004.

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 71 ways as a sum of consecutive naturals, for example, 1058281 + ... + 1800839.

It is an arithmetic number, because the mean of its divisors is an integer number (13792123800).

Almost surely, 21061532644040 is an apocalyptic number.

1061532644040 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 1061532644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986065827200).

1061532644040 is an abundant number, since it is smaller than the sum of its proper divisors (2910599010360).

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

1061532644040 is a wasteful number, since it uses less digits than its factorization.

1061532644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742625 (or 742599 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1061532644040 its reverse (404462351601), we get a palindrome (1465994995641).

The spelling of 1061532644040 in words is "one trillion, sixty-one billion, five hundred thirty-two million, six hundred forty-four thousand, forty".