Search a number
-
+
2432420977860 = 22325235711028969
BaseRepresentation
bin100011011001010111100…
…101101001110011000100
322121112111121012112121200
4203121113211221303010
5304323044232242420
65101234435142500
7340510442112306
oct43312745516304
98545447175550
102432420977860
11858647257765
12333504a44a30
131484b79b9983
1485a3081b976
1543415d1bb90
hex23657969cc4

2432420977860 has 144 divisors (see below), whose sum is σ = 7712632287360. Its totient is φ = 619356418560.

The previous prime is 2432420977853. The next prime is 2432420977871. The reversal of 2432420977860 is 687790242342.

2432420977860 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 420 + 97 + 78 + 60 = 666.

2432420977860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24324209778602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2432420977797 and 2432420977806.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1849456 + ... + 2878424.

It is an arithmetic number, because the mean of its divisors is an integer number (53559946440).

Almost surely, 22432420977860 is an apocalyptic number.

2432420977860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432420977860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856316143680).

2432420977860 is an abundant number, since it is smaller than the sum of its proper divisors (5280211309500).

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

2432420977860 is a wasteful number, since it uses less digits than its factorization.

2432420977860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029578 (or 1029573 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2432420977860 in words is "two trillion, four hundred thirty-two billion, four hundred twenty million, nine hundred seventy-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 571 690 828 1035 1142 1380 1713 2070 2284 2855 3426 4140 5139 5710 6852 8565 10278 11420 13133 17130 20556 25695 26266 34260 39399 51390 52532 65665 78798 102780 118197 131330 157596 196995 236394 262660 393990 472788 590985 787980 1028969 1181970 2057938 2363940 3086907 4115876 5144845 6173814 9260721 10289690 12347628 15434535 18521442 20579380 23666287 30869070 37042884 46303605 47332574 61738140 70998861 92607210 94665148 118331435 141997722 185214420 212996583 236662870 283995444 354994305 425993166 473325740 587541299 709988610 851986332 1064982915 1175082598 1419977220 1762623897 2129965830 2350165196 2937706495 3525247794 4259931660 5287871691 5875412990 7050495588 8813119485 10575743382 11750825980 13513449877 17626238970 21151486764 26439358455 27026899754 35252477940 40540349631 52878716910 54053799508 67567249385 81080699262 105757433820 121621048893 135134498770 162161398524 202701748155 243242097786 270268997540 405403496310 486484195572 608105244465 810806992620 1216210488930 2432420977860