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96336660960 = 2533522300153
BaseRepresentation
bin101100110111000011…
…1001100100111100000
3100012122212102102211000
41121232013030213200
53034244141122320
6112131220552000
76650212051521
oct1315607144740
9305585372730
1096336660960
1137946596281
1216806b52600
1391138838c7
14493c704848
15278c815c90
hex166e1cc9e0

96336660960 has 96 divisors (see below), whose sum is σ = 337178328480. Its totient is φ = 25689775104.

The previous prime is 96336660929. The next prime is 96336660967. The reversal of 96336660960 is 6906663369.

96336660960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96336660897 and 96336660906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96336660967) 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, 11145757 + ... + 11154396.

It is an arithmetic number, because the mean of its divisors is an integer number (3512274255).

Almost surely, 296336660960 is an apocalyptic number.

96336660960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96336660960 is an abundant number, since it is smaller than the sum of its proper divisors (240841667520).

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

96336660960 is a wasteful number, since it uses less digits than its factorization.

96336660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22300177 (or 22300163 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 96336660960 in words is "ninety-six billion, three hundred thirty-six million, six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 22300153 44600306 66900459 89200612 111500765 133800918 178401224 200701377 223001530 267601836 334502295 356802448 401402754 446003060 535203672 602104131 669004590 713604896 802805508 892006120 1003506885 1070407344 1204208262 1338009180 1605611016 1784012240 2007013770 2140814688 2408416524 2676018360 3010520655 3211222032 3568024480 4014027540 4816833048 5352036720 6021041310 6422444064 8028055080 9633666096 10704073440 12042082620 16056110160 19267332192 24084165240 32112220320 48168330480 96336660960