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48087311378084 = 221141154317275397
BaseRepresentation
bin10101110111100001100110…
…00111001110011010100100
320022021002202102001222101122
422323300303013032122210
522300330303203044314
6250135001134113112
713062123255402536
oct1273606307163244
9208232672058348
1048087311378084
111435a794703a10
12548778734b798
1320aa7c9c7c344
14bc361c945856
15585cdbe7528e
hex2bbc331ce6a4

48087311378084 has 48 divisors (see below), whose sum is σ = 94103100798336. Its totient is φ = 21310928505600.

The previous prime is 48087311378081. The next prime is 48087311378131.

48087311378084 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×480873113780843 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48087311378081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854127 + ... + 11421270.

It is an arithmetic number, because the mean of its divisors is an integer number (1960481266632).

Almost surely, 248087311378084 is an apocalyptic number.

48087311378084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48087311378084 is a deficient number, since it is larger than the sum of its proper divisors (46015789420252).

48087311378084 is a wasteful number, since it uses less digits than its factorization.

48087311378084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276996 (or 17276994 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 48087311378084 in words is "forty-eight trillion, eighty-seven billion, three hundred eleven million, three hundred seventy-eight thousand, eighty-four".

Divisors: 1 2 4 11 22 41 44 82 164 451 902 1543 1804 3086 6172 16973 33946 63263 67892 126526 253052 695893 1391786 2783572 17275397 34550794 69101588 190029367 380058734 708291277 760117468 1416582554 2833165108 7791204047 15582408094 26655937571 31164816188 53311875142 106623750284 293215313281 586430626562 1092893440411 1172861253124 2185786880822 4371573761644 12021827844521 24043655689042 48087311378084