Search a number
-
+
82140245710600 = 23527115333782189
BaseRepresentation
bin10010101011010011000100…
…001010101101011100001000
3101202211112022221202010220211
4102223103010022231130020
541231241210400214400
6450410412525530504
723205302601363220
oct2253230412553410
9352745287663824
1082140245710600
1124199534348080
1292673b6113a34
1336aaa3ab5875c
14163d875553080
159769c9ec0dba
hex4ab4c42ad708

82140245710600 has 96 divisors (see below), whose sum is σ = 238100036961600. Its totient is φ = 25602154502400.

The previous prime is 82140245710597. The next prime is 82140245710609. The reversal of 82140245710600 is 601754204128.

It is a super-3 number, since 3×821402457106003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82140245710609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666875695 + ... + 2666906494.

It is an arithmetic number, because the mean of its divisors is an integer number (2480208718350).

Almost surely, 282140245710600 is an apocalyptic number.

It is an amenable number.

82140245710600 is an abundant number, since it is smaller than the sum of its proper divisors (155959791251000).

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

82140245710600 is a wasteful number, since it uses less digits than its factorization.

82140245710600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333782223 (or 5333782214 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 82140245710600 its reverse (601754204128), we get a palindrome (82741999914728).

The spelling of 82140245710600 in words is "eighty-two trillion, one hundred forty billion, two hundred forty-five million, seven hundred ten thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 5333782189 10667564378 21335128756 26668910945 37336475323 42670257512 53337821890 58671604079 74672950646 106675643780 117343208158 133344554725 149345901292 186682376615 213351287560 234686416316 266689109450 293358020395 298691802584 373364753230 410701228553 469372832632 533378218900 586716040790 746729506460 821402457106 933411883075 1066756437800 1173432081580 1466790101975 1493459012920 1642804914212 1866823766150 2053506142765 2346864163160 2933580203950 3285609828424 3733647532300 4107012285530 5867160407900 7467295064600 8214024571060 10267530713825 11734320815800 16428049142120 20535061427650 41070122855300 82140245710600