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89638333120 = 265740017113
BaseRepresentation
bin101001101111011011…
…1000110101011000000
322120101001100010102201
41103132313012223000
52432034403124440
6105102420322544
76322215155110
oct1233667065300
9276331303381
1089638333120
1135019558446
1215457843454
1385b6c128cb
1444a4c75040
1524e973b19a
hex14dedc6ac0

89638333120 has 56 divisors (see below), whose sum is σ = 243944326944. Its totient is φ = 30733142016.

The previous prime is 89638333073. The next prime is 89638333121. The reversal of 89638333120 is 2133383698.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (89638333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20006317 + ... + 20010796.

Almost surely, 289638333120 is an apocalyptic number.

89638333120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89638333120 is an abundant number, since it is smaller than the sum of its proper divisors (154305993824).

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

89638333120 is a wasteful number, since it uses less digits than its factorization.

89638333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40017137 (or 40017127 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 89638333120 in words is "eighty-nine billion, six hundred thirty-eight million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 40017113 80034226 160068452 200085565 280119791 320136904 400171130 560239582 640273808 800342260 1120479164 1280547616 1400598955 1600684520 2240958328 2561095232 2801197910 3201369040 4481916656 5602395820 6402738080 8963833312 11204791640 12805476160 17927666624 22409583280 44819166560 89638333120