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4807450546272 = 253611291135717
BaseRepresentation
bin100010111110101001001…
…1000011101000001100000
3122000120212111100102000000
41011331102120131001200
51112231124314440042
614120302353300000
71004220051260313
oct105752230350140
918016774312000
104807450546272
11159391255a020
12657871564600
1328b45750956a
14128978dc297a
15850bd41174c
hex45f5261d060

4807450546272 has 672 divisors, whose sum is σ = 16158915672480. Its totient is φ = 1393877237760.

The previous prime is 4807450546229. The next prime is 4807450546303. The reversal of 4807450546272 is 2726450547084.

4807450546272 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 4 + 5 + 0 + 5 + 4 + 627 + 2 = 666.

It is a super-3 number, since 3×48074505462723 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 840901558 + ... + 840907274.

It is an arithmetic number, because the mean of its divisors is an integer number (24046005465).

Almost surely, 24807450546272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4807450546272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079457836240).

4807450546272 is an abundant number, since it is smaller than the sum of its proper divisors (11351465126208).

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

4807450546272 is a wasteful number, since it uses less digits than its factorization.

4807450546272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 4807450546272 in words is "four trillion, eight hundred seven billion, four hundred fifty million, five hundred forty-six thousand, two hundred seventy-two".