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6281980474560 = 263578647108109
BaseRepresentation
bin101101101101010001100…
…1101101111010011000000
3211020112220000112211202020
41123122203031233103000
51310410444000141220
621205522455121440
71215600222000120
oct133324315572300
924215800484666
106281980474560
11200219a23056a
128555a6673280
13367507bb29cb
1417a099aa0c80
15ad61e6d3040
hex5b6a336f4c0

6281980474560 has 224 divisors, whose sum is σ = 22797461867520. Its totient is φ = 1435701915648.

The previous prime is 6281980474499. The next prime is 6281980474597. The reversal of 6281980474560 is 654740891826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6281980474494 and 6281980474503.

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, 58053786 + ... + 58161894.

Almost surely, 26281980474560 is an apocalyptic number.

6281980474560 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 6281980474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398730933760).

6281980474560 is an abundant number, since it is smaller than the sum of its proper divisors (16515481392960).

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

6281980474560 is a wasteful number, since it uses less digits than its factorization.

6281980474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116783 (or 116773 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 6281980474560 in words is "six trillion, two hundred eighty-one billion, nine hundred eighty million, four hundred seventy-four thousand, five hundred sixty".