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49680007200 = 2532526900001
BaseRepresentation
bin101110010001001010…
…001100000000100000
311202020021200212000200
4232101022030000200
51303221040212300
634453410545200
73406055044065
oct562112140040
9152207625020
1049680007200
111a08408379a
129765898200
1348b9691b85
142594034c6c
15145b737200
hexb9128c020

49680007200 has 108 divisors (see below), whose sum is σ = 175184150778. Its totient is φ = 13248000000.

The previous prime is 49680007151. The next prime is 49680007211. The reversal of 49680007200 is 270008694.

It can be written as a sum of positive squares in 3 ways, for example, as 25430043024 + 24249964176 = 159468^2 + 155724^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3442801 + ... + 3457200.

Almost surely, 249680007200 is an apocalyptic number.

49680007200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49680007200 is an abundant number, since it is smaller than the sum of its proper divisors (125504143578).

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

49680007200 is a wasteful number, since it uses less digits than its factorization.

49680007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900027 (or 6900011 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 49680007200 in words is "forty-nine billion, six hundred eighty million, seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 6900001 13800002 20700003 27600004 34500005 41400006 55200008 62100009 69000010 82800012 103500015 110400016 124200018 138000020 165600024 172500025 207000030 220800032 248400036 276000040 310500045 331200048 345000050 414000060 496800072 517500075 552000080 621000090 662400096 690000100 828000120 993600144 1035000150 1104000160 1242000180 1380000200 1552500225 1656000240 1987200288 2070000300 2484000360 2760000400 3105000450 3312000480 4140000600 4968000720 5520000800 6210000900 8280001200 9936001440 12420001800 16560002400 24840003600 49680007200