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516216126450 = 23526156417063
BaseRepresentation
bin1111000001100001110…
…00001111101111110010
31211100102222201021210110
413200300320033233302
531424202312021300
61033051343042150
752203213451053
oct7406070175762
91740388637713
10516216126450
11189a206002a2
12840678a0356
13398a991657b
141adb0b7472a
15d6645bb550
hex7830e0fbf2

516216126450 has 48 divisors (see below), whose sum is σ = 1301203164096. Its totient is φ = 135400948800.

The previous prime is 516216126431. The next prime is 516216126467. The reversal of 516216126450 is 54621612615.

It is a junction number, because it is equal to n+sod(n) for n = 516216126399 and 516216126408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28199382 + ... + 28217681.

It is an arithmetic number, because the mean of its divisors is an integer number (27108399252).

Almost surely, 2516216126450 is an apocalyptic number.

516216126450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

516216126450 is an abundant number, since it is smaller than the sum of its proper divisors (784987037646).

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

516216126450 is a wasteful number, since it uses less digits than its factorization.

516216126450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56417139 (or 56417134 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 516216126450 in words is "five hundred sixteen billion, two hundred sixteen million, one hundred twenty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 3050 4575 9150 56417063 112834126 169251189 282085315 338502378 564170630 846255945 1410426575 1692511890 2820853150 3441440843 4231279725 6882881686 8462559450 10324322529 17207204215 20648645058 34414408430 51621612645 86036021075 103243225290 172072042150 258108063225 516216126450