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5049344439405 = 335719367766273
BaseRepresentation
bin100100101111010010001…
…1000011011010001101101
3122212201020111101100222000
41021132210120123101231
51130212024134030110
614423345315042513
71030542314401410
oct111364430332155
918781214340860
105049344439405
1116774623331a2
1269671b2a0439
132a81c7083cc6
14136564dc9b77
158b5297711c0
hex497a461b46d

5049344439405 has 128 divisors (see below), whose sum is σ = 10828371148800. Its totient is φ = 2180822372352.

The previous prime is 5049344439379. The next prime is 5049344439409.

It is a happy number.

5049344439405 is a `hidden beast` number, since 504 + 9 + 3 + 4 + 4 + 43 + 94 + 0 + 5 = 666.

5049344439405 is nontrivially palindromic in base 10.

5049344439405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5049344439405 - 27 = 5049344439277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5049344439409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6206349 + ... + 6972621.

It is an arithmetic number, because the mean of its divisors is an integer number (84596649600).

Almost surely, 25049344439405 is an apocalyptic number.

It is an amenable number.

5049344439405 is an abundant number, since it is smaller than the sum of its proper divisors (5779026709395).

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

5049344439405 is a wasteful number, since it uses less digits than its factorization.

5049344439405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766680 (or 766674 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 5049344439405 in words is "five trillion, forty-nine billion, three hundred forty-four million, four hundred thirty-nine thousand, four hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 367 399 513 665 855 945 1101 1197 1835 1995 2565 2569 3303 3591 5505 5985 6973 7707 9909 12845 16515 17955 20919 23121 34865 38535 48811 49545 62757 69363 104595 115605 146433 188271 244055 313785 346815 439299 732165 766273 941355 1317897 2196495 2298819 3831365 5363911 6589485 6896457 11494095 14559187 16091733 20689371 26819555 34482285 43677561 48275199 72795935 80458665 101914309 103446855 131032683 144825597 218387805 241375995 281222191 305742927 393098049 509571545 655163415 724127985 843666573 917228781 1406110955 1528714635 1965490245 1968555337 2530999719 2751686343 4218332865 4586143905 5343221629 5905666011 7592999157 9842776685 12654998595 13758431715 16029664887 17716998033 26716108145 29528330055 37402551403 37964995785 48088994661 53150994099 80148324435 88584990165 112207654209 144266983983 187012757015 240444973305 265754970495 336622962627 561038271045 721334919915 1009868887881 1683114813135 5049344439405