Search a number
-
+
864448063956 = 2232193734157107
BaseRepresentation
bin11001001010001010001…
…11101010100111010100
310001122021212112121101100
430211011013222213110
5103130342201021311
61501042202030100
7116311554210141
oct14450507524724
93048255477340
10864448063956
1130367943a074
1211b651aa8330
13636950c7969
142dba78853c8
15177462c4a56
hexc9451ea9d4

864448063956 has 72 divisors (see below), whose sum is σ = 2362305589280. Its totient is φ = 265605656256.

The previous prime is 864448063933. The next prime is 864448064017. The reversal of 864448063956 is 659360844468.

864448063956 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 480 + 63 + 95 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 864448063893 and 864448063902.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17053246 + ... + 17103861.

Almost surely, 2864448063956 is an apocalyptic number.

It is an amenable number.

864448063956 is an abundant number, since it is smaller than the sum of its proper divisors (1497857525324).

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

864448063956 is a wasteful number, since it uses less digits than its factorization.

864448063956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34157173 (or 34157168 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 864448063956 in words is "eight hundred sixty-four billion, four hundred forty-eight million, sixty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 25308 34157107 68314214 102471321 136628428 204942642 307413963 409885284 614827926 648985033 1229655852 1263812959 1297970066 1946955099 2527625918 2595940132 3791438877 3893910198 5055251836 5840865297 7582877754 7787820396 11374316631 11681730594 15165755508 22748633262 23363461188 24012446221 45497266524 48024892442 72037338663 96049784884 144074677326 216112015989 288149354652 432224031978 864448063956