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188369245439984 = 24717917895252047
BaseRepresentation
bin101010110101001000100001…
…111101100000011111110000
3220200221220221120222210122102
4222311020201331200133300
5144142220203313034414
61504343345310355532
754451141334613650
oct5265104175403760
9820856846883572
10188369245439984
1155024a483027a4
121916327b1bbba8
1381151b371232b
1434731978a2360
1516b9db2a8eede
hexab5221f607f0

188369245439984 has 80 divisors (see below), whose sum is σ = 419668046668800. Its totient is φ = 80233784070912.

The previous prime is 188369245439983. The next prime is 188369245440023. The reversal of 188369245439984 is 489934542963881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188369245439983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33239849 + ... + 38491895.

It is an arithmetic number, because the mean of its divisors is an integer number (5245850583360).

Almost surely, 2188369245439984 is an apocalyptic number.

188369245439984 is a gapful number since it is divisible by the number (14) 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 188369245439984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209834023334400).

188369245439984 is an abundant number, since it is smaller than the sum of its proper divisors (231298801228816).

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

188369245439984 is a wasteful number, since it uses less digits than its factorization.

188369245439984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254030 (or 5254024 counting only the distinct ones).

The product of its digits is 12899450880, while the sum is 83.

The spelling of 188369245439984 in words is "one hundred eighty-eight trillion, three hundred sixty-nine billion, two hundred forty-five million, four hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 716 1253 1432 1789 2506 2864 3578 5012 7156 10024 12523 14312 20048 25046 28624 50092 100184 200368 320231 640462 1280924 2241617 2561848 4483234 5123696 5252047 8966468 10504094 17932936 21008188 35865872 36764329 42016376 73528658 84032752 147057316 294114632 588229264 940116413 1880232826 3760465652 6580814891 7520931304 9395912083 13161629782 15041862608 18791824166 26323259564 37583648332 52646519128 65771384581 75167296664 105293038256 131542769162 150334593328 263085538324 526171076648 1052342153296 1681868262857 3363736525714 6727473051428 11773077839999 13454946102856 23546155679998 26909892205712 47092311359996 94184622719992 188369245439984