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6126224504141 = 71927197734949
BaseRepresentation
bin101100100100101111101…
…1011110111010101001101
3210200122212010012201212002
41121021133123313111031
51300333001433113031
621010203152122045
71201414361045030
oct131113733672515
923618763181762
106126224504141
111a52132027675
1282b378236325
13355914c997c1
14172721aa5017
15a9555620ccb
hex5925f6f754d

6126224504141 has 48 divisors (see below), whose sum is σ = 7501247481600. Its totient is φ = 4899452382720.

The previous prime is 6126224504131. The next prime is 6126224504209. The reversal of 6126224504141 is 1414054226216.

It is not a de Polignac number, because 6126224504141 - 210 = 6126224503117 is a prime.

It is a super-2 number, since 2×61262245041412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6126224504095 and 6126224504104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126224504131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175272935 + ... + 175307883.

It is an arithmetic number, because the mean of its divisors is an integer number (156275989200).

Almost surely, 26126224504141 is an apocalyptic number.

It is an amenable number.

6126224504141 is a deficient number, since it is larger than the sum of its proper divisors (1375022977459).

6126224504141 is a wasteful number, since it uses less digits than its factorization.

6126224504141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36042 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 6126224504141 in words is "six trillion, one hundred twenty-six billion, two hundred twenty-four million, five hundred four thousand, one hundred forty-one".

Divisors: 1 7 19 71 133 361 497 977 1349 2527 6839 9443 18563 25631 34949 69367 129941 179417 244643 352697 485569 664031 1317973 2468879 2481379 4648217 9225811 12616589 17369653 25041487 34145173 47146201 88316123 175290409 239016211 330023407 648758287 895777819 2424307283 4541308009 6270444733 12326407453 16970150981 46061838377 86284852171 322432868639 875174929163 6126224504141