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41625100462106 = 27435317352314419
BaseRepresentation
bin10010111011011100110010…
…10100111010100000011010
312110101022122211011002012102
421131232121110322200122
520423441201204241411
6224310150203043402
711524212536050430
oct1135563124724032
9173338584132172
1041625100462106
1112299119057217
124803281b10562
131a2c2cb79cc35
14a3c946620d50
154c2b6ec19d3b
hex25db9953a81a

41625100462106 has 128 divisors (see below), whose sum is σ = 74972755630080. Its totient is φ = 16963202850048.

The previous prime is 41625100462093. The next prime is 41625100462129. The reversal of 41625100462106 is 60126400152614.

It is a happy number.

41625100462106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41625100462106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2886815765 + ... + 2886830183.

It is an arithmetic number, because the mean of its divisors is an integer number (585724653360).

Almost surely, 241625100462106 is an apocalyptic number.

41625100462106 is a deficient number, since it is larger than the sum of its proper divisors (33347655167974).

41625100462106 is a wasteful number, since it uses less digits than its factorization.

41625100462106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15220.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 41625100462106 in words is "forty-one trillion, six hundred twenty-five billion, one hundred million, four hundred sixty-two thousand, one hundred six".

Divisors: 1 2 7 14 43 53 86 106 173 301 346 371 523 602 742 1046 1211 2279 2422 3661 4558 7322 7439 9169 14419 14878 15953 18338 22489 27719 28838 31906 44978 52073 55438 64183 90479 100933 104146 128366 157423 180958 194033 201866 314846 388066 394267 620017 633353 764207 788534 1191917 1240034 1266706 1528414 2383834 2494487 2759869 3890597 4340119 4795387 4988974 5349449 5519738 7541137 7781194 8343419 8680238 9590774 10698898 15082274 16686838 17461409 27234179 32860901 33567709 34922818 52787959 54468358 65721802 67135418 105575918 107262941 132207811 206201641 214525882 230026307 264415622 324268891 399680261 412403282 460052614 648537782 750840587 799360522 925454677 1304616701 1443411487 1501681174 1850909354 2269882237 2609233402 2797761827 2886822974 4539764474 5595523654 5684935873 9132316907 11369871746 17186251223 18264633814 34372502446 39794551111 56098518143 69144685153 79589102222 112197036286 120303758561 138289370306 240607517122 392689627001 484012796071 785379254002 968025592142 2973221461579 5946442923158 20812550231053 41625100462106