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20032970688 = 2632733471373
BaseRepresentation
bin10010101010000011…
…101101111111000000
31220201010120100112100
4102222003231333000
5312011420030223
613111504030400
71306302304233
oct225203557700
956633510470
1020032970688
1185500a9425
123a71002400
131b7347cb13
14d8082941a
157c3ad0043
hex4aa0edfc0

20032970688 has 168 divisors, whose sum is σ = 58417742448. Its totient is φ = 6562418688.

The previous prime is 20032970621. The next prime is 20032970689. The reversal of 20032970688 is 88607923002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032970689) 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 23 ways as a sum of consecutive naturals, for example, 14589970 + ... + 14591342.

Almost surely, 220032970688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29208871224).

20032970688 is an abundant number, since it is smaller than the sum of its proper divisors (38384771760).

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

20032970688 is a wasteful number, since it uses less digits than its factorization.

20032970688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20032970688 in words is "twenty billion, thirty-two million, nine hundred seventy thousand, six hundred eighty-eight".