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54945620496 = 243213672811559
BaseRepresentation
bin110011001011000000…
…111010001000010000
312020211020212201112100
4303023000322020100
51400012034323441
641124111200400
73653414032254
oct631300721020
9166736781470
1054945620496
1121336408a18
12a795216100
13524856b9a0
1429334b8264
151668b58cb6
hexccb03a210

54945620496 has 240 divisors, whose sum is σ = 168777947520. Its totient is φ = 16584099840.

The previous prime is 54945620489. The next prime is 54945620519. The reversal of 54945620496 is 69402654945.

54945620496 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 5 + 620 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35243365 + ... + 35244923.

It is an arithmetic number, because the mean of its divisors is an integer number (703241448).

Almost surely, 254945620496 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 54945620496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84388973760).

54945620496 is an abundant number, since it is smaller than the sum of its proper divisors (113832327024).

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

54945620496 is a wasteful number, since it uses less digits than its factorization.

54945620496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 54945620496 in words is "fifty-four billion, nine hundred forty-five million, six hundred twenty thousand, four hundred ninety-six".