Search a number
-
+
4422663544101 = 3112191226352291
BaseRepresentation
bin100000001011011101101…
…0010100001110100100101
3120122210200000201101210020
41000112323102201310211
51034430103331402401
613223424340345353
7634345503566535
oct100267322416445
916583600641706
104422663544101
1114557062aa100
125b51850a5259
132610948a27aa
141140b544b4c5
157a09c3a2d36
hex405bb4a1d25

4422663544101 has 48 divisors (see below), whose sum is σ = 6823528696320. Its totient is φ = 2539072720800.

The previous prime is 4422663544073. The next prime is 4422663544129. The reversal of 4422663544101 is 1014453662244.

It is an interprime number because it is at equal distance from previous prime (4422663544073) and next prime (4422663544129).

It is not a de Polignac number, because 4422663544101 - 27 = 4422663543973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422663544141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84551766 + ... + 84604056.

It is an arithmetic number, because the mean of its divisors is an integer number (142156847840).

Almost surely, 24422663544101 is an apocalyptic number.

It is an amenable number.

4422663544101 is a deficient number, since it is larger than the sum of its proper divisors (2400865152219).

4422663544101 is a wasteful number, since it uses less digits than its factorization.

4422663544101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64598 (or 64587 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4422663544101 in words is "four trillion, four hundred twenty-two billion, six hundred sixty-three million, five hundred forty-four thousand, one hundred one".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 6897 12263 36789 52291 134893 156873 232997 404679 575201 698991 993529 1483823 1725603 2562967 2980587 4451469 6327211 7688901 10928819 18981633 28192637 32786457 84577911 120217009 360651027 641244533 1923733599 7053689863 12183646127 21161069589 36550938381 77590588493 134020107397 232771765479 402060322191 1474221181367 4422663544101