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12368717660 = 225131919312973
BaseRepresentation
bin10111000010011101…
…11010011101011100
31011220222220221220002
423201032322131130
5200312342431120
65403200313432
7615336236225
oct134116723534
934828827802
1012368717660
115277900712
122492312878
131221672560
1485499c24c
154c5d05375
hex2e13ba75c

12368717660 has 96 divisors (see below), whose sum is σ = 29599402560. Its totient is φ = 4303798272.

The previous prime is 12368717633. The next prime is 12368717663. The reversal of 12368717660 is 6671786321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368717663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 946934 + ... + 959906.

It is an arithmetic number, because the mean of its divisors is an integer number (308327110).

Almost surely, 212368717660 is an apocalyptic number.

12368717660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368717660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799701280).

12368717660 is an abundant number, since it is smaller than the sum of its proper divisors (17230684900).

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

12368717660 is a wasteful number, since it uses less digits than its factorization.

12368717660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 12368717660 in words is "twelve billion, three hundred sixty-eight million, seven hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 193 247 260 380 386 494 772 965 988 1235 1930 2470 2509 3667 3860 4940 5018 7334 10036 12545 12973 14668 18335 25090 25946 36670 47671 50180 51892 64865 73340 95342 129730 168649 190684 238355 246487 259460 337298 476710 492974 674596 843245 953420 985948 1232435 1686490 2464870 2503789 3204331 3372980 4929740 5007578 6408662 10015156 12518945 12817324 16021655 25037890 32043310 32549257 47571991 50075780 64086620 65098514 95143982 130197028 162746285 190287964 237859955 325492570 475719910 618435883 650985140 951439820 1236871766 2473743532 3092179415 6184358830 12368717660