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20383974000 = 243453139679
BaseRepresentation
bin10010111110111110…
…101100001001110000
31221121121001011120000
4102332332230021300
5313221244132000
613210403150000
71321063630425
oct227676541160
957547034500
1020383974000
118710249405
123b4a675300
131bcb0c78a0
14db52b7d4c
157e4816000
hex4befac270

20383974000 has 400 divisors, whose sum is σ = 79300341120. Its totient is φ = 5017075200.

The previous prime is 20383973983. The next prime is 20383974031. The reversal of 20383974000 is 47938302.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-5 number, since 5×203839740005 (a number of 53 digits) contains 55555 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2101161 + ... + 2110839.

Almost surely, 220383974000 is an apocalyptic number.

20383974000 is a gapful number since it is divisible by the number (20) 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 20383974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39650170560).

20383974000 is an abundant number, since it is smaller than the sum of its proper divisors (58916367120).

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

20383974000 is a wasteful number, since it uses less digits than its factorization.

20383974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20383974000 in words is "twenty billion, three hundred eighty-three million, nine hundred seventy-four thousand".