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20440037772 = 223372112137233
BaseRepresentation
bin10011000010010100…
…100011100110001100
31221202111112111121000
4103002110203212030
5313330122202042
613220124540300
71322344311600
oct230224434614
957674474530
1020440037772
118739960a00
123b653b1690
131c098c700b
14dbc90d500
157e96dc74c
hex4c252398c

20440037772 has 432 divisors, whose sum is σ = 68545582560. Its totient is φ = 5247728640.

The previous prime is 20440037731. The next prime is 20440037773. The reversal of 20440037772 is 27773004402.

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

It is not an unprimeable number, because it can be changed into a prime (20440037773) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87725368 + ... + 87725600.

It is an arithmetic number, because the mean of its divisors is an integer number (158670330).

Almost surely, 220440037772 is an apocalyptic number.

20440037772 is a gapful number since it is divisible by the number (22) 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 20440037772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272791280).

20440037772 is an abundant number, since it is smaller than the sum of its proper divisors (48105544788).

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

20440037772 is a wasteful number, since it uses less digits than its factorization.

20440037772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 20440037772 in words is "twenty billion, four hundred forty million, thirty-seven thousand, seven hundred seventy-two".