Search a number
-
+
36893096352 = 253376100049
BaseRepresentation
bin100010010110111111…
…111111100110100000
310112020010212110221000
4202112333333212200
51101024113040402
624540511032000
72444150100450
oct422677774640
9115203773830
1036893096352
1114712211382
12719750b600
13362c4ab138
141addad7d60
15e5dd77c1c
hex896fff9a0

36893096352 has 96 divisors (see below), whose sum is σ = 122977008000. Its totient is φ = 10540882944.

The previous prime is 36893096287. The next prime is 36893096353. The reversal of 36893096352 is 25369039863.

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

It is a super-2 number, since 2×368930963522 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36893096353) 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, 3043977 + ... + 3056072.

It is an arithmetic number, because the mean of its divisors is an integer number (1281010500).

Almost surely, 236893096352 is an apocalyptic number.

36893096352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36893096352 is an abundant number, since it is smaller than the sum of its proper divisors (86083911648).

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

36893096352 is a wasteful number, since it uses less digits than its factorization.

36893096352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100075 (or 6100061 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 36893096352 in words is "thirty-six billion, eight hundred ninety-three million, ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6100049 12200098 18300147 24400196 36600294 42700343 48800392 54900441 73200588 85400686 97600784 109800882 128101029 146401176 164701323 170801372 195201568 219601764 256202058 292802352 329402646 341602744 384303087 439203528 512404116 585604704 658805292 683205488 768606174 878407056 1024808232 1152909261 1317610584 1366410976 1537212348 1756814112 2049616464 2305818522 2635221168 3074424696 4099232928 4611637044 5270442336 6148849392 9223274088 12297698784 18446548176 36893096352