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546225720480 = 253351147244567
BaseRepresentation
bin1111111001011011001…
…01110000110010100000
31221012220102001121201000
413330231211300302200
532422132241023410
61054533240512000
754314661005616
oct7745545606240
91835812047630
10546225720480
111a07201a7480
1289a41a7b600
133c67cc8a4bb
141c61a5996b6
15e31de8cdc0
hex7f2d970ca0

546225720480 has 384 divisors, whose sum is σ = 2129972060160. Its totient is φ = 129600414720.

The previous prime is 546225720479. The next prime is 546225720571. The reversal of 546225720480 is 84027522645.

546225720480 is a `hidden beast` number, since 54 + 6 + 22 + 572 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111157 + ... + 2355723.

It is an arithmetic number, because the mean of its divisors is an integer number (5546802240).

Almost surely, 2546225720480 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 546225720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064986030080).

546225720480 is an abundant number, since it is smaller than the sum of its proper divisors (1583746339680).

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

546225720480 is a wasteful number, since it uses less digits than its factorization.

546225720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244649 (or 244635 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 546225720480 in words is "five hundred forty-six billion, two hundred twenty-five million, seven hundred twenty thousand, four hundred eighty".