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96000000000096 = 2537313799990001
BaseRepresentation
bin10101110100111110111101…
…111001100000000001100000
3110120220111210001121211111010
4111310332331321200001200
5100040331000000000341
6540101442520420520
726135525331136323
oct2564767571400140
9416814701554433
1096000000000096
112865240a315695
12a925539917740
1341749b834a58a
14199c5d38b27ba
15b172a8814716
hex574fbde60060

96000000000096 has 96 divisors (see below), whose sum is σ = 257316670906848. Its totient is φ = 31331266560000.

The previous prime is 96000000000053. The next prime is 96000000000167. The reversal of 96000000000096 is 69000000000069.

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

96000000000096 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to n+sod(n) for n = 95999999999982 and 96000000000072.

It is a congruent number.

It is an unprimeable number.

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, 49034905 + ... + 50955096.

It is an arithmetic number, because the mean of its divisors is an integer number (2680381988613).

Almost surely, 296000000000096 is an apocalyptic number.

96000000000096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96000000000096 is an abundant number, since it is smaller than the sum of its proper divisors (161316670906752).

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

96000000000096 is a wasteful number, since it uses less digits than its factorization.

96000000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99990224 (or 99990216 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

It can be divided in two parts, 960000000000 and 96, that multiplied together give a square (92160000000000 = 96000002).

The spelling of 96000000000096 in words is "ninety-six trillion, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 137 146 219 274 292 411 438 548 584 822 876 1096 1168 1644 1752 2192 2336 3288 3504 4384 6576 7008 10001 13152 20002 30003 40004 60006 80008 120012 160016 240024 320032 480048 960096 99990001 199980002 299970003 399960004 599940006 799920008 1199880012 1599840016 2399760024 3199680032 4799520048 7299270073 9599040096 13698630137 14598540146 21897810219 27397260274 29197080292 41095890411 43795620438 54794520548 58394160584 82191780822 87591240876 109589041096 116788321168 164383561644 175182481752 219178082192 233576642336 328767123288 350364963504 438356164384 657534246576 700729927008 1000000000001 1315068493152 2000000000002 3000000000003 4000000000004 6000000000006 8000000000008 12000000000012 16000000000016 24000000000024 32000000000032 48000000000048 96000000000096