Search a number
-
+
20488435352 = 23711237711151
BaseRepresentation
bin10011000101001101…
…001011011010011000
31221212212121100120222
4103011031023122120
5313430014412402
613225014135212
71323502553450
oct230515133230
957785540528
1020488435352
118764207800
123b79651508
131c16940c38
14dc510ad60
157eda9c7a2
hex4c534b698

20488435352 has 192 divisors, whose sum is σ = 50303877120. Its totient is φ = 7650720000.

The previous prime is 20488435349. The next prime is 20488435393. The reversal of 20488435352 is 25353488402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17799977 + ... + 17801127.

It is an arithmetic number, because the mean of its divisors is an integer number (261999360).

Almost surely, 220488435352 is an apocalyptic number.

20488435352 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 20488435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151938560).

20488435352 is an abundant number, since it is smaller than the sum of its proper divisors (29815441768).

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

20488435352 is a wasteful number, since it uses less digits than its factorization.

20488435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 20488435352 in words is "twenty billion, four hundred eighty-eight million, four hundred thirty-five thousand, three hundred fifty-two".