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49831200000 = 283455769
BaseRepresentation
bin101110011010001010…
…111100010100000000
311202121211012020120000
4232122022330110000
51304023241400000
634520411320000
73412602132321
oct563212742400
9152554166500
1049831200000
111a15146011a
1297a8450000
134911aba97a
1425aa150448
151469b50000
hexb9a2bc500

49831200000 has 540 divisors, whose sum is σ = 185964152220. Its totient is φ = 13271040000.

The previous prime is 49831199981. The next prime is 49831200017. The reversal of 49831200000 is 213894.

It can be written as a sum of positive squares in 6 ways, for example, as 43117691904 + 6713508096 = 207648^2 + 81936^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799616 + ... + 64800384.

Almost surely, 249831200000 is an apocalyptic number.

49831200000 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 49831200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92982076110).

49831200000 is an abundant number, since it is smaller than the sum of its proper divisors (136132952220).

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

49831200000 is an frugal number, since it uses more digits than its factorization.

49831200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 49831200000 its reverse (213894), we get a palindrome (49831413894).

The spelling of 49831200000 in words is "forty-nine billion, eight hundred thirty-one million, two hundred thousand".