Search a number
-
+
4837435139889 = 32114732832
BaseRepresentation
bin100011001100100110110…
…0110100110011100110001
3122010110021011122120210100
41012121031212212130301
51113224031343434024
614142141555223013
71006331103151512
oct106311546463461
918113234576710
104837435139889
1115a55aa030000
1266163b2a7a69
13291225639051
1412a1c137aa09
1585c759e57c9
hex4664d9a6731

4837435139889 has 135 divisors (see below), whose sum is σ = 7887851289435. Its totient is φ = 2856778752960.

The previous prime is 4837435139869. The next prime is 4837435139903. The reversal of 4837435139889 is 9889315347384.

The square root of 4837435139889 is 2199417.

It is a perfect power (a square), and thus also a powerful number.

4837435139889 is a `hidden beast` number, since 4 + 83 + 7 + 435 + 1 + 39 + 8 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2745963839025 + 2091471300864 = 1657095^2 + 1446192^2 .

It is not a de Polignac number, because 4837435139889 - 25 = 4837435139857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4837435139839) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 58282351042 + ... + 58282351124.

Almost surely, 24837435139889 is an apocalyptic number.

4837435139889 is the 2199417-th square number.

4837435139889 is the 1099709-th centered octagonal number.

It is an amenable number.

4837435139889 is a deficient number, since it is larger than the sum of its proper divisors (3050416149546).

4837435139889 is an frugal number, since it uses more digits than its factorization.

4837435139889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 170 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 4837435139889 in words is "four trillion, eight hundred thirty-seven billion, four hundred thirty-five million, one hundred thirty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 33 73 83 99 121 219 249 363 657 747 803 913 1089 1331 2409 2739 3993 5329 6059 6889 7227 8217 8833 10043 11979 14641 15987 18177 20667 26499 30129 43923 47961 54531 58619 62001 66649 75779 79497 90387 97163 110473 131769 175857 199947 227337 291489 331419 442307 502897 527571 599841 644809 682011 733139 833569 874467 994257 1068793 1215203 1326921 1508691 1934427 2199417 2500707 3206379 3645609 3980763 4526073 4865377 5531867 5803281 6598251 7092899 7502121 8064529 9169259 9619137 10936827 14596131 16595601 21278697 24193587 27507777 36711481 43788393 49786803 53519147 60850537 63836091 72580761 78021889 82523331 88709819 100861849 110134443 160557441 182551611 234065667 266129457 302585547 330403329 403826291 481672323 547654833 588710617 669355907 702197001 798388371 907756641 1211478873 1766131851 2008067721 3634436619 4442089201 5298395553 6024203163 6475816787 7362914977 13326267603 19427450361 22088744931 39978802809 48862981211 58282351083 66266234793 146588943633 439766830899 537492793321 1612478379963 4837435139889