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107283483216 = 243271315752147
BaseRepresentation
bin110001111101010011…
…0000000101001010000
3101020220202210121220100
41203322212000221100
53224204032430331
6121141345212400
710515404363310
oct1437246005120
9336822717810
10107283483216
1141553802918
1218961031100
13a16977c620
14529a4d1440
152bcd89dae6
hex18fa980a50

107283483216 has 240 divisors, whose sum is σ = 371892836224. Its totient is φ = 28113785856.

The previous prime is 107283483169. The next prime is 107283483259. The reversal of 107283483216 is 612384382701.

107283483216 is a `hidden beast` number, since 1 + 0 + 7 + 283 + 48 + 321 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031255 + ... + 2083401.

Almost surely, 2107283483216 is an apocalyptic number.

107283483216 is a gapful number since it is divisible by the number (16) 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 107283483216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185946418112).

107283483216 is an abundant number, since it is smaller than the sum of its proper divisors (264609353008).

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

107283483216 is a wasteful number, since it uses less digits than its factorization.

107283483216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52338 (or 52329 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 107283483216 in words is "one hundred seven billion, two hundred eighty-three million, four hundred eighty-three thousand, two hundred sixteen".