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12987996192 = 25351798251
BaseRepresentation
bin11000001100010010…
…10001100000100000
31020112011012120100000
430012021101200200
5203044411334232
65544441500000
7636566101053
oct140611214040
936464176300
1012987996192
115565426856
1226257a1600
1312bca5b062
148b2d22a9a
1551038027c
hex306251820

12987996192 has 144 divisors (see below), whose sum is σ = 40556067552. Its totient is φ = 4074624000.

The previous prime is 12987996167. The next prime is 12987996227. The reversal of 12987996192 is 29169978921.

12987996192 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 7 + 9 + 9 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83067 + ... + 181317.

It is an arithmetic number, because the mean of its divisors is an integer number (281639358).

Almost surely, 212987996192 is an apocalyptic number.

12987996192 is a gapful number since it is divisible by the number (12) 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 12987996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278033776).

12987996192 is an abundant number, since it is smaller than the sum of its proper divisors (27568071360).

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

12987996192 is an equidigital number, since it uses as much as digits as its factorization.

12987996192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98293 (or 98273 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 12987996192 in words is "twelve billion, nine hundred eighty-seven million, nine hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 33048 44064 66096 98251 132192 196502 294753 393004 589506 786008 884259 1179012 1572016 1670267 1768518 2358024 2652777 3144032 3340534 3537036 4716048 5010801 5305554 6681068 7074072 7958331 9432096 10021602 10611108 13362136 14148144 15032403 15916662 20043204 21222216 23874993 26724272 28296288 30064806 31833324 40086408 42444432 45097209 47749986 53448544 60129612 63666648 80172816 84888864 90194418 95499972 120259224 127333296 135291627 160345632 180388836 190999944 240518448 254666592 270583254 360777672 381999888 405874881 481036896 541166508 721555344 763999776 811749762 1082333016 1443110688 1623499524 2164666032 3246999048 4329332064 6493998096 12987996192