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48663221400 = 23325237730679
BaseRepresentation
bin101101010100100011…
…011101010010011000
311122121102102210010100
4231110203131102120
51244130241041100
634204445415400
73341630362023
oct552443352230
9148542383110
1048663221400
1119702135552
12952126a560
134786b28581
1424d8d981ba
1513ec33c400
hexb548dd498

48663221400 has 144 divisors (see below), whose sum is σ = 167844502800. Its totient is φ = 12626115840.

The previous prime is 48663221353. The next prime is 48663221449. The reversal of 48663221400 is 412236684.

48663221400 is a `hidden beast` number, since 4 + 8 + 6 + 632 + 2 + 14 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298740 + ... + 431939.

It is an arithmetic number, because the mean of its divisors is an integer number (1165586825).

Almost surely, 248663221400 is an apocalyptic number.

48663221400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48663221400 is an abundant number, since it is smaller than the sum of its proper divisors (119181281400).

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

48663221400 is a wasteful number, since it uses less digits than its factorization.

48663221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730738 (or 730726 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 48663221400 in words is "forty-eight billion, six hundred sixty-three million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 730679 1461358 2192037 2922716 3653395 4384074 5845432 6576111 7306790 8768148 10960185 13152222 14613580 17536296 18266975 21920370 26304444 27035123 29227160 32880555 36533950 43840740 52608888 54070246 54800925 65761110 73067900 81105369 87681480 108140492 109601850 131522220 135175615 146135800 162210738 164402775 216280984 219203700 243316107 263044440 270351230 324421476 328805550 405526845 438407400 486632214 540702460 648842952 657611100 675878075 811053690 973264428 1081404920 1216580535 1315222200 1351756150 1622107380 1946528856 2027634225 2433161070 2703512300 3244214760 4055268450 4866322140 5407024600 6082902675 8110536900 9732644280 12165805350 16221073800 24331610700 48663221400