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20441400984 = 233217291633533
BaseRepresentation
bin10011000010011001…
…110000011010011000
31221202121002202120100
4103002121300122120
5313330444312414
613220214055400
71322362020144
oct230231603230
957677082510
1020441400984
11873a702124
123b6594a560
131c09c83654
14dbcb86224
157e98ab609
hex4c2670698

20441400984 has 192 divisors, whose sum is σ = 61029352800. Its totient is φ = 6152122368.

The previous prime is 20441400953. The next prime is 20441400997. The reversal of 20441400984 is 48900414402.

20441400984 is a `hidden beast` number, since 204 + 41 + 400 + 9 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5784082 + ... + 5787614.

Almost surely, 220441400984 is an apocalyptic number.

20441400984 is a gapful number since it is divisible by the number (24) 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 20441400984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30514676400).

20441400984 is an abundant number, since it is smaller than the sum of its proper divisors (40587951816).

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

20441400984 is a wasteful number, since it uses less digits than its factorization.

20441400984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20441400984 in words is "twenty billion, four hundred forty-one million, four hundred thousand, nine hundred eighty-four".