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48068944560 = 2434571381517
BaseRepresentation
bin101100110001001000…
…011110001010110000
311121002000012101120000
4230301020132022300
51241421122211220
634025500150000
73321123200340
oct546110361260
9147060171500
1048068944560
111942773656a
129396238300
1346c0984980
1424800a0d20
1513b50a0390
hexb3121e2b0

48068944560 has 400 divisors, whose sum is σ = 205480140096. Its totient is φ = 10141894656.

The previous prime is 48068944559. The next prime is 48068944571. The reversal of 48068944560 is 6544986084.

48068944560 is a `hidden beast` number, since 4 + 80 + 68 + 9 + 445 + 60 = 666.

It is a super-3 number, since 3×480689445603 (a number of 33 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 junction number, because it is equal to n+sod(n) for n = 48068944497 and 48068944506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 548922 + ... + 630438.

Almost surely, 248068944560 is an apocalyptic number.

48068944560 is a gapful number since it is divisible by the number (40) 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 48068944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102740070048).

48068944560 is an abundant number, since it is smaller than the sum of its proper divisors (157411195536).

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

48068944560 is a wasteful number, since it uses less digits than its factorization.

48068944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81562 (or 81547 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48068944560 in words is "forty-eight billion, sixty-eight million, nine hundred forty-four thousand, five hundred sixty".