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2218992770016 = 2533113137476171
BaseRepresentation
bin100000010010100110010…
…001101001101111100000
321212010121102101012221000
4200102212101221233200
5242323444122120031
64415220300032000
7316213465223301
oct40224621515740
97763542335830
102218992770016
1178608462a230
122ba080232600
1313133368c1a9
14795851867a8
153cac3a5e3e6
hex204a6469be0

2218992770016 has 1536 divisors, whose sum is σ = 7879175700480. Its totient is φ = 600929280000.

The previous prime is 2218992770003. The next prime is 2218992770069. The reversal of 2218992770016 is 6100772998122.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31253419261 + ... + 31253419331.

It is an arithmetic number, because the mean of its divisors is an integer number (5129671680).

Almost surely, 22218992770016 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 2218992770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939587850240).

2218992770016 is an abundant number, since it is smaller than the sum of its proper divisors (5660182930464).

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

2218992770016 is a wasteful number, since it uses less digits than its factorization.

2218992770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 2218992770016 in words is "two trillion, two hundred eighteen billion, nine hundred ninety-two million, seven hundred seventy thousand, sixteen".