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49814569728 = 283472114457
BaseRepresentation
bin101110011001001011…
…100000001100000000
311202120122220100010000
4232121023200030000
51304010012212403
634515015040000
73412310566500
oct563113401400
9152518810100
1049814569728
111a1430315a0
1297a2970000
13490b517281
1425a7c61a00
1514684677a3
hexb992e0300

49814569728 has 540 divisors, whose sum is σ = 188539537032. Its totient is φ = 12935946240.

The previous prime is 49814569723. The next prime is 49814569733. The reversal of 49814569728 is 82796541894.

49814569728 is a `hidden beast` number, since 4 + 98 + 1 + 456 + 97 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (49814569723) and next prime (49814569733).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34836480) is a multiple of the sum of its prime divisors (4480).

It is not an unprimeable number, because it can be changed into a prime (49814569723) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 11174476 + ... + 11178932.

Almost surely, 249814569728 is an apocalyptic number.

49814569728 is a gapful number since it is divisible by the number (48) 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 49814569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94269768516).

49814569728 is an abundant number, since it is smaller than the sum of its proper divisors (138724967304).

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

49814569728 is a wasteful number, since it uses less digits than its factorization.

49814569728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4480 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 49814569728 in words is "forty-nine billion, eight hundred fourteen million, five hundred sixty-nine thousand, seven hundred twenty-eight".