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6916116480 = 212357131237
BaseRepresentation
bin1100111000011101…
…11001000000000000
3122211222220010020020
412130032321000000
5103131011211410
63102140213440
7333250006620
oct63416710000
918758803206
106916116480
112a29a70749
12141023a280
13862b16020
14498762880
152a7299a70
hex19c3b9000

6916116480 has 416 divisors, whose sum is σ = 27257551104. Its totient is φ = 1458044928.

The previous prime is 6916116469. The next prime is 6916116503. The reversal of 6916116480 is 846116196.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590422 + ... + 5591658.

Almost surely, 26916116480 is an apocalyptic number.

6916116480 is a gapful number since it is divisible by the number (60) 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 6916116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628775552).

6916116480 is an abundant number, since it is smaller than the sum of its proper divisors (20341434624).

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

6916116480 is a wasteful number, since it uses less digits than its factorization.

6916116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 6916116480 is about 83163.1918579368. The cubic root of 6916116480 is about 1905.2593415222.

The spelling of 6916116480 in words is "six billion, nine hundred sixteen million, one hundred sixteen thousand, four hundred eighty".