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49714427448 = 233272312511811
BaseRepresentation
bin101110010011001101…
…011111011000111000
311202022200110120201200
4232103031133120320
51303303343134243
634501040414200
73406653442500
oct562315373070
9152280416650
1049714427448
111a0a1553184
129775317360
1348c3853a9a
142598834a00
15145e785ad3
hexb9335f638

49714427448 has 288 divisors, whose sum is σ = 162412024320. Its totient is φ = 13683600000.

The previous prime is 49714427407. The next prime is 49714427449. The reversal of 49714427448 is 84472441794.

49714427448 is a `hidden beast` number, since 4 + 97 + 1 + 442 + 74 + 48 = 666.

It is a super-3 number, since 3×497144274483 (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49714427394 and 49714427403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49714427449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27450463 + ... + 27452273.

It is an arithmetic number, because the mean of its divisors is an integer number (563930640).

Almost surely, 249714427448 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 49714427448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81206012160).

49714427448 is an abundant number, since it is smaller than the sum of its proper divisors (112697596872).

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

49714427448 is a wasteful number, since it uses less digits than its factorization.

49714427448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2105 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 49714427448 in words is "forty-nine billion, seven hundred fourteen million, four hundred twenty-seven thousand, four hundred forty-eight".