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214746746806728 = 233310112757771619
BaseRepresentation
bin110000110100111110011111…
…100011110110000111001000
31001011100120220000102020111000
4300310332133203312013020
5211121402314140303403
62040421143224135000
763142640402060103
oct6064763743660710
91034316800366430
10214746746806728
11624746471553a4
1220103437007460
1392a96ba448236
143b05b25a1373a
1519c60c7ed07a3
hexc34f9f8f61c8

214746746806728 has 128 divisors (see below), whose sum is σ = 602472871152000. Its totient is φ = 70867866297600.

The previous prime is 214746746806667. The next prime is 214746746806741. The reversal of 214746746806728 is 827608647647412.

It is a happy number.

214746746806728 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 467 + 4 + 6 + 80 + 67 + 28 = 666.

It is a super-2 number, since 2×2147467468067282 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 277920903 + ... + 278692521.

It is an arithmetic number, because the mean of its divisors is an integer number (4706819305875).

Almost surely, 2214746746806728 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 214746746806728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301236435576000).

214746746806728 is an abundant number, since it is smaller than the sum of its proper divisors (387726124345272).

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

214746746806728 is a wasteful number, since it uses less digits than its factorization.

214746746806728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784492 (or 784482 counting only the distinct ones).

The product of its (nonzero) digits is 1213857792, while the sum is 72.

The spelling of 214746746806728 in words is "two hundred fourteen trillion, seven hundred forty-six billion, seven hundred forty-six million, eight hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10908 12757 21816 25514 38271 51028 76542 102056 114813 153084 229626 306168 344439 459252 688878 771619 918504 1288457 1377756 1543238 2314857 2576914 2755512 3086476 3865371 4629714 5153828 6172952 6944571 7730742 9259428 10307656 11596113 13889142 15461484 18518856 20833713 23192226 27778284 30922968 34788339 41667426 46384452 55556568 69576678 77933519 83334852 92768904 139153356 155867038 166669704 233800557 278306712 311734076 467601114 623468152 701401671 935202228 1402803342 1870404456 2104205013 2805606684 4208410026 5611213368 8416820052 9843543583 16833640104 19687087166 29530630749 39374174332 59061261498 78748348664 88591892247 118122522996 177183784494 236245045992 265775676741 354367568988 531551353482 708735137976 994197901883 1063102706964 1988395803766 2126205413928 2982593705649 3976791607532 5965187411298 7953583215064 8947781116947 11930374822596 17895562233894 23860749645192 26843343350841 35791124467788 53686686701682 71582248935576 107373373403364 214746746806728