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20870730000 = 243354174547
BaseRepresentation
bin10011011011111111…
…100001000100010000
31222212111221221021000
4103123333201010100
5320220401330000
613330552102000
71336124164221
oct233377410420
958774857230
1020870730000
11893aa8a39a
124065694900
131c77bc36a3
14101dbc3248
15822415000
hex4dbfe1110

20870730000 has 400 divisors, whose sum is σ = 79280372160. Its totient is φ = 5236992000.

The previous prime is 20870729939. The next prime is 20870730007. The reversal of 20870730000 is 3707802.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20870730007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4587727 + ... + 4592273.

Almost surely, 220870730000 is an apocalyptic number.

20870730000 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 20870730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640186080).

20870730000 is an abundant number, since it is smaller than the sum of its proper divisors (58409642160).

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

20870730000 is a wasteful number, since it uses less digits than its factorization.

20870730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 20870730000 in words is "twenty billion, eight hundred seventy million, seven hundred thirty thousand".