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12328210685672 = 23710719314717247
BaseRepresentation
bin1011001101100110001010…
…0111100101111011101000
31121122120021012101110002122
42303121202213211323220
53103441133413420142
642115300220050412
72411453360553020
oct263314247457350
947576235343078
1012328210685672
113a23401599862
121471358993a08
136b5711c951bb
1430898d674a80
15165a420b11d2
hexb36629e5ee8

12328210685672 has 128 divisors (see below), whose sum is σ = 26824567357440. Its totient is φ = 5202762485760.

The previous prime is 12328210685653. The next prime is 12328210685719. The reversal of 12328210685672 is 27658601282321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701143153 + ... + 1701150399.

It is an arithmetic number, because the mean of its divisors is an integer number (209566932480).

Almost surely, 212328210685672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12328210685672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412283678720).

12328210685672 is an abundant number, since it is smaller than the sum of its proper divisors (14496356671768).

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

12328210685672 is a wasteful number, since it uses less digits than its factorization.

12328210685672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 12328210685672 in words is "twelve trillion, three hundred twenty-eight billion, two hundred ten million, six hundred eighty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 107 193 214 386 428 749 772 856 1351 1471 1498 1544 2702 2942 2996 5404 5884 5992 7247 10297 10808 11768 14494 20594 20651 28988 41188 41302 50729 57976 82376 82604 101458 144557 157397 165208 202916 283903 289114 314794 405832 567806 578228 629588 775429 1101779 1135612 1156456 1259176 1398671 1550858 1987321 2203558 2271224 2797342 3101716 3974642 4407116 5428003 5594684 6203432 7949284 8814232 9790697 10660337 10856006 11189368 15898568 19581394 21320674 21712012 30377621 39162788 42641348 43424024 60755242 74622359 78325576 85282696 121510484 149244718 149657797 212643347 243020968 298489436 299315594 425286694 596978872 598631188 850573388 1047604579 1140656059 1197262376 1701146776 2057445041 2095209158 2281312118 4114890082 4190418316 4562624236 7984592413 8229780164 8380836632 9125248472 14402115287 15969184826 16459560328 28804230574 31938369652 57608461148 63876739304 115216922296 220146619387 440293238774 880586477548 1541026335709 1761172955096 3082052671418 6164105342836 12328210685672