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55643604112107 = 321123292857294947
BaseRepresentation
bin11001010011011100010010…
…10000011101001011101011
321022000110212102221211220100
430221232021100131023223
524243131100123041412
6314202152511400443
714502055245031464
oct1451561120351353
9238013772854810
1055643604112107
1116803357993a30
1262a812a523123
1325082280b69bb
14da5244341d6b
1566764030aedc
hex329b8941d2eb

55643604112107 has 96 divisors (see below), whose sum is σ = 94681422650880. Its totient is φ = 31133839080960.

The previous prime is 55643604112099. The next prime is 55643604112141. The reversal of 55643604112107 is 70121140634655.

It is a happy number.

55643604112107 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 3 + 604 + 11 + 21 + 0 + 7 = 666.

55643604112107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55643604112107 - 23 = 55643604112099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55643604111107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 188508808 + ... + 188803754.

It is an arithmetic number, because the mean of its divisors is an integer number (986264819280).

Almost surely, 255643604112107 is an apocalyptic number.

55643604112107 is a deficient number, since it is larger than the sum of its proper divisors (39037818538773).

55643604112107 is a wasteful number, since it uses less digits than its factorization.

55643604112107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297873 (or 297870 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55643604112107 in words is "fifty-five trillion, six hundred forty-three billion, six hundred four million, one hundred twelve thousand, one hundred seven".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 253 261 319 667 759 957 2001 2277 2857 2871 6003 7337 8571 22011 25713 31427 65711 66033 82853 94281 197133 248559 282843 294947 591399 722821 745677 884841 911383 1905619 2168463 2654523 2734149 3244417 5716857 6505389 6783781 8202447 8553463 9733251 17150571 20351343 20961809 25660389 29199753 61054029 62885427 74621591 76981167 94088093 188656281 196729649 223864773 282264279 590188947 671594319 842663579 846792837 1770566841 2164026139 2527990737 6492078417 7583972211 9269299369 19381262317 19476235251 24437243791 27807898107 58143786951 73311731373 83423694321 174431360853 213193885487 219935194119 268809681701 562056607193 639581656461 806429045103 1686169821579 1918744969383 2419287135309 5058509464737 6182622679123 18547868037369 55643604112107