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206422970416 = 24131952399871
BaseRepresentation
bin1100000000111111000…
…1001001000000110000
3201201210222020101111121
43000033301021000300
511340223240023131
6234455052352024
720625232204165
oct3001761110060
9651728211447
10206422970416
117a5a8426a13
123400a775614
1316608c0c9a0
149dc315406c
1555822ab911
hex300fc49030

206422970416 has 80 divisors (see below), whose sum is σ = 454249815040. Its totient is φ = 90084337920.

The previous prime is 206422970401. The next prime is 206422970449. The reversal of 206422970416 is 614079224602.

It is a super-2 number, since 2×2064229704162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016961 + ... + 2116831.

It is an arithmetic number, because the mean of its divisors is an integer number (5678122688).

Almost surely, 2206422970416 is an apocalyptic number.

206422970416 is a gapful number since it is divisible by the number (26) 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 206422970416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227124907520).

206422970416 is an abundant number, since it is smaller than the sum of its proper divisors (247826844624).

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

206422970416 is a wasteful number, since it uses less digits than its factorization.

206422970416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100434 (or 100428 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 206422970416 in words is "two hundred six billion, four hundred twenty-two million, nine hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 523 988 1046 1976 2092 3952 4184 6799 8368 9937 13598 19874 27196 39748 54392 79496 99871 108784 129181 158992 199742 258362 399484 516724 798968 1033448 1298323 1597936 1897549 2066896 2596646 3795098 5193292 7590196 10386584 15180392 20773168 24668137 30360784 49336274 52232533 98672548 104465066 197345096 208930132 394690192 417860264 679022929 835720528 992418127 1358045858 1984836254 2716091716 3969672508 5432183432 7939345016 10864366864 12901435651 15878690032 25802871302 51605742604 103211485208 206422970416