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20067539400 = 2334527173239
BaseRepresentation
bin10010101100000111…
…100101100111001000
31220210112121121220000
4102230013211213020
5312044242230100
613115141003000
71310202161526
oct225407454710
956715547800
1020067539400
11856866a407
123a806b3460
131b7a69448c
14d85267316
157c6b5c900
hex4ac1e59c8

20067539400 has 480 divisors, whose sum is σ = 71947180800. Its totient is φ = 5181926400.

The previous prime is 20067539369. The next prime is 20067539413. The reversal of 20067539400 is 493576002.

20067539400 is a `hidden beast` number, since 20 + 0 + 67 + 539 + 40 + 0 = 666.

It is a super-2 number, since 2×200675394002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83964481 + ... + 83964719.

It is an arithmetic number, because the mean of its divisors is an integer number (149889960).

Almost surely, 220067539400 is an apocalyptic number.

20067539400 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 20067539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35973590400).

20067539400 is an abundant number, since it is smaller than the sum of its proper divisors (51879641400).

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

20067539400 is a wasteful number, since it uses less digits than its factorization.

20067539400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20067539400 in words is "twenty billion, sixty-seven million, five hundred thirty-nine thousand, four hundred".