Search a number
-
+
20998400508 = 22325318236037
BaseRepresentation
bin10011100011100110…
…100010100111111100
32000012102012021021100
4103203212202213330
5321001042304013
613351352333100
71342234313361
oct234346424774
960172167240
1020998400508
1189a6060108
1240a03a4190
131c984a4a77
141032b38468
1582d733473
hex4e39a29fc

20998400508 has 72 divisors (see below), whose sum is σ = 54119415168. Its totient is φ = 6862497408.

The previous prime is 20998400483. The next prime is 20998400519. The reversal of 20998400508 is 80500489902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475266 + ... + 3481302.

It is an arithmetic number, because the mean of its divisors is an integer number (751658544).

Almost surely, 220998400508 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 20998400508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27059707584).

20998400508 is an abundant number, since it is smaller than the sum of its proper divisors (33121014660).

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

20998400508 is a wasteful number, since it uses less digits than its factorization.

20998400508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20998400508 in words is "twenty billion, nine hundred ninety-eight million, four hundred thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1823 1908 3646 5469 6037 7292 10938 12074 16407 18111 21876 24148 32814 36222 54333 65628 72444 96619 108666 193238 217332 289857 319961 386476 579714 639922 869571 959883 1159428 1279844 1739142 1919766 2879649 3478284 3839532 5759298 11005451 11518596 22010902 33016353 44021804 66032706 99049059 132065412 198098118 396196236 583288903 1166577806 1749866709 2333155612 3499733418 5249600127 6999466836 10499200254 20998400508