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288668000148 = 223114647147059
BaseRepresentation
bin1000011001101011111…
…01000001111110010100
31000121002202202210022220
410030311331001332110
514212143002001043
6340340125022340
726566314342033
oct4146575017624
91017082683286
10288668000148
11101472619070
1247b423b49b0
13212b51b1158
14dd8612c71a
1577978de483
hex4335f41f94

288668000148 has 48 divisors (see below), whose sum is σ = 734822699520. Its totient is φ = 87471410400.

The previous prime is 288668000123. The next prime is 288668000177. The reversal of 288668000148 is 841000866882.

It is a self number, because there is not a number n which added to its sum of digits gives 288668000148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6110643 + ... + 6157701.

It is an arithmetic number, because the mean of its divisors is an integer number (15308806240).

Almost surely, 2288668000148 is an apocalyptic number.

It is an amenable number.

288668000148 is an abundant number, since it is smaller than the sum of its proper divisors (446154699372).

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

288668000148 is a wasteful number, since it uses less digits than its factorization.

288668000148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93548 (or 93546 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 288668000148 in words is "two hundred eighty-eight billion, six hundred sixty-eight million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 46471 47059 92942 94118 139413 141177 185884 188236 278826 282354 511181 517649 557652 564708 1022362 1035298 1533543 1552947 2044724 2070596 3067086 3105894 6134172 6211788 2186878789 4373757578 6560636367 8747515156 13121272734 24055666679 26242545468 48111333358 72167000037 96222666716 144334000074 288668000148