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12875415168 = 273711435451
BaseRepresentation
bin10111111110110111…
…10011111010000000
31020020022100212012110
423333123303322000
5202332101241133
65525340455320
7634031136360
oct137733637200
936208325173
1012875415168
115507921a90
1225b3b4a540
1312a2630c75
148a1db89a0
15505542c63
hex2ff6f3e80

12875415168 has 128 divisors (see below), whose sum is σ = 42639459840. Its totient is φ = 3344256000.

The previous prime is 12875415167. The next prime is 12875415187. The reversal of 12875415168 is 86151457821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12875415167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188158 + ... + 247293.

It is an arithmetic number, because the mean of its divisors is an integer number (333120780).

Almost surely, 212875415168 is an apocalyptic number.

It is an amenable number.

12875415168 is an abundant number, since it is smaller than the sum of its proper divisors (29764044672).

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

12875415168 is a wasteful number, since it uses less digits than its factorization.

12875415168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435486 (or 435474 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The spelling of 12875415168 in words is "twelve billion, eight hundred seventy-five million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 435451 870902 1306353 1741804 2612706 3048157 3483608 4789961 5225412 6096314 6967216 9144471 9579922 10450824 12192628 13934432 14369883 18288942 19159844 20901648 24385256 27868864 28739766 33529727 36577884 38319688 41803296 48770512 55737728 57479532 67059454 73155768 76639376 83606592 97541024 100589181 114959064 134118908 146311536 153278752 167213184 195082048 201178362 229918128 268237816 292623072 306557504 390164096 402356724 459836256 536475632 585246144 613115008 804713448 919672512 1072951264 1170492288 1609426896 1839345024 2145902528 3218853792 4291805056 6437707584 12875415168