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119863823136 = 25379122312923
BaseRepresentation
bin110111110100001110…
…0001100101100100000
3102110101111221002221220
41233220130030230200
53430440114320021
6131021545415040
711442223454211
oct1575034145440
9373344832856
10119863823136
114691a004462
121b29219a480
13b3c2c18245
145b31219408
1531b8056cc6
hex1be870cb20

119863823136 has 96 divisors (see below), whose sum is σ = 318910556160. Its totient is φ = 39413547264.

The previous prime is 119863823117. The next prime is 119863823197. The reversal of 119863823136 is 631328368911.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 9268771 + ... + 9281693.

It is an arithmetic number, because the mean of its divisors is an integer number (3321984960).

Almost surely, 2119863823136 is an apocalyptic number.

119863823136 is a gapful number since it is divisible by the number (16) 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 119863823136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159455278080).

119863823136 is an abundant number, since it is smaller than the sum of its proper divisors (199046733024).

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

119863823136 is a wasteful number, since it uses less digits than its factorization.

119863823136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14230 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The spelling of 119863823136 in words is "one hundred nineteen billion, eight hundred sixty-three million, eight hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1223 1264 1896 2446 2528 3669 3792 4892 7338 7584 9784 12923 14676 19568 25846 29352 38769 39136 51692 58704 77538 96617 103384 117408 155076 193234 206768 289851 310152 386468 413536 579702 620304 772936 1020917 1159404 1240608 1545872 2041834 2318808 3062751 3091744 4083668 4637616 6125502 8167336 9275232 12251004 15804829 16334672 24502008 31609658 32669344 47414487 49004016 63219316 94828974 98008032 126438632 189657948 252877264 379315896 505754528 758631792 1248581491 1517263584 2497162982 3745744473 4994325964 7491488946 9988651928 14982977892 19977303856 29965955784 39954607712 59931911568 119863823136