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999415220000 = 255470692
BaseRepresentation
bin11101000101100011100…
…10100000011100100000
310112112122222001112010112
432202301302200130200
5112333300244020000
62043043000350452
7132130304130041
oct16426162403440
93475588045115
10999415220000
1135593892303a
1214183a175428
137332409b782
143652c9028c8
151aee5253235
hexe8b1ca0720

999415220000 has 90 divisors (see below), whose sum is σ = 2459059218693. Its totient is φ = 399709536000.

The previous prime is 999415219963. The next prime is 999415220039. The reversal of 999415220000 is 22514999.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 178499490064 + 820915729936 = 422492^2 + 906044^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=706900.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 999415220000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 141376466 + ... + 141383534.

Almost surely, 2999415220000 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 999415220000

999415220000 is an abundant number, since it is smaller than the sum of its proper divisors (1459643998693).

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

999415220000 is an frugal number, since it uses more digits than its factorization.

999415220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14168 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

Adding to 999415220000 its reverse (22514999), we get a palindrome (999437734999).

The spelling of 999415220000 in words is "nine hundred ninety-nine billion, four hundred fifteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 7069 10000 14138 20000 28276 35345 56552 70690 113104 141380 176725 226208 282760 353450 565520 706900 883625 1131040 1413800 1767250 2827600 3534500 4418125 5655200 7069000 8836250 14138000 17672500 28276000 35345000 49970761 70690000 99941522 141380000 199883044 249853805 399766088 499707610 799532176 999415220 1249269025 1599064352 1998830440 2498538050 3997660880 4997076100 6246345125 7995321760 9994152200 12492690250 19988304400 24985380500 31231725625 39976608800 49970761000 62463451250 99941522000 124926902500 199883044000 249853805000 499707610000 999415220000