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1000020746424 = 2337238313672281
BaseRepresentation
bin11101000110101011110…
…00011010000010111000
310112121020011110110020010
432203111320122002320
5112341020302341144
62043223031101520
7132151306044150
oct16432570320270
93477204413203
101000020746424
11356119705aa7
12141988b118a0
13733bc68092b
14365890c7760
151b02d4b35b9
hexe8d5e1a0b8

1000020746424 has 256 divisors, whose sum is σ = 3020880199680. Its totient is φ = 269689052160.

The previous prime is 1000020746423. The next prime is 1000020746437. The reversal of 1000020746424 is 4246470200001.

It is a junction number, because it is equal to n+sod(n) for n = 1000020746391 and 1000020746400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020746423) 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 63 ways as a sum of consecutive naturals, for example, 438412164 + ... + 438414444.

It is an arithmetic number, because the mean of its divisors is an integer number (11800313280).

Almost surely, 21000020746424 is an apocalyptic number.

1000020746424 is a gapful number since it is divisible by the number (14) 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 1000020746424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510440099840).

1000020746424 is an abundant number, since it is smaller than the sum of its proper divisors (2020859453256).

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

1000020746424 is a wasteful number, since it uses less digits than its factorization.

1000020746424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 1000020746424 its reverse (4246470200001), we get a palindrome (5246490946425).

The spelling of 1000020746424 in words is "one trillion, twenty million, seven hundred forty-six thousand, four hundred twenty-four".