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1403782866990 = 23257311131374643
BaseRepresentation
bin10100011011010111111…
…110101010100000101110
311222012102001010100102200
4110123113332222200232
5140444421403220430
62552520002402330
7203264022330540
oct24332776524056
94865361110380
101403782866990
114a1382917249
121a80900603a6
13a24b7552aca
144bd2cb9b690
15267b02e4460
hex146d7faa82e

1403782866990 has 384 divisors, whose sum is σ = 4376550776832. Its totient is φ = 305453998080.

The previous prime is 1403782866989. The next prime is 1403782867007. The reversal of 1403782866990 is 996682873041.

1403782866990 is a `hidden beast` number, since 1 + 40 + 378 + 2 + 86 + 69 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302341609 + ... + 302346251.

It is an arithmetic number, because the mean of its divisors is an integer number (11397267648).

Almost surely, 21403782866990 is an apocalyptic number.

1403782866990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403782866990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188275388416).

1403782866990 is an abundant number, since it is smaller than the sum of its proper divisors (2972767909842).

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

1403782866990 is a wasteful number, since it uses less digits than its factorization.

1403782866990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1403782866990 in words is "one trillion, four hundred three billion, seven hundred eighty-two million, eight hundred sixty-six thousand, nine hundred ninety".