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53449205040 = 2432571123167251
BaseRepresentation
bin110001110001110100…
…100010010100110000
312002221222002221102200
4301301310202110300
51333430444030130
640315413543200
73601343514060
oct616164422460
9162858087380
1053449205040
1120738756930
12a438044b00
13506a53315a
1428308693a0
1515cc5bb760
hexc71d22530

53449205040 has 960 divisors, whose sum is σ = 235856904192. Its totient is φ = 10517760000.

The previous prime is 53449205039. The next prime is 53449205093. The reversal of 53449205040 is 4050294435.

It is a happy number.

53449205040 is a `hidden beast` number, since 5 + 3 + 449 + 205 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×534492050402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53449204986 and 53449205004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212944915 + ... + 212945165.

Almost surely, 253449205040 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 53449205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117928452096).

53449205040 is an abundant number, since it is smaller than the sum of its proper divisors (182407699152).

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

53449205040 is a wasteful number, since it uses less digits than its factorization.

53449205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 53449205040 its reverse (4050294435), we get a palindrome (57499499475).

The spelling of 53449205040 in words is "fifty-three billion, four hundred forty-nine million, two hundred five thousand, forty".