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990012143800 = 235219376133703
BaseRepresentation
bin11100110100000010101…
…00100111100010111000
310111122101122111202112001
432122001110213202320
5112210021102100200
62034445540030344
7131345265242521
oct16320124474270
93448348452461
10990012143800
11351953055789
1213ba550923b4
1372485c70964
1435cb9b65848
151ab449a676a
hexe6815278b8

990012143800 has 96 divisors (see below), whose sum is σ = 2316813634080. Its totient is φ = 393423667200.

The previous prime is 990012143749. The next prime is 990012143801. The reversal of 990012143800 is 8341210099.

It is a self number, because there is not a number n which added to its sum of digits gives 990012143800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990012143801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29357749 + ... + 29391451.

It is an arithmetic number, because the mean of its divisors is an integer number (24133475355).

Almost surely, 2990012143800 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 990012143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158406817040).

990012143800 is an abundant number, since it is smaller than the sum of its proper divisors (1326801490280).

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

990012143800 is a wasteful number, since it uses less digits than its factorization.

990012143800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34673 (or 34664 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

Adding to 990012143800 its reverse (8341210099), we get a palindrome (998353353899).

The spelling of 990012143800 in words is "nine hundred ninety billion, twelve million, one hundred forty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 761 772 965 1522 1544 1930 3044 3805 3860 4825 6088 7610 7720 9650 15220 19025 19300 30440 33703 38050 38600 67406 76100 134812 146873 152200 168515 269624 293746 337030 587492 674060 734365 842575 1174984 1348120 1468730 1685150 2937460 3370300 3671825 5874920 6504679 6740600 7343650 13009358 14687300 25647983 26018716 29374600 32523395 51295966 52037432 65046790 102591932 128239915 130093580 162616975 205183864 256479830 260187160 325233950 512959660 641199575 650467900 1025919320 1282399150 1300935800 2564798300 4950060719 5129596600 9900121438 19800242876 24750303595 39600485752 49500607190 99001214380 123751517975 198002428760 247503035950 495006071900 990012143800