Search a number
-
+
2026289281620 = 2235271593920983
BaseRepresentation
bin11101011111001000010…
…000001011101001010100
321011201012120202201200010
4131133020100023221110
5231144320024002440
64150510415320220
7266252223466002
oct35371020135124
97151176681603
102026289281620
1171138752420a
12288860220070
13119102c22006
1470104167a72
1537a95e74580
hex1d7c840ba54

2026289281620 has 96 divisors (see below), whose sum is σ = 5695776092160. Its totient is φ = 538233621120.

The previous prime is 2026289281603. The next prime is 2026289281633. The reversal of 2026289281620 is 261829826202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2026289281620.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 96557649 + ... + 96578631.

It is an arithmetic number, because the mean of its divisors is an integer number (59331000960).

Almost surely, 22026289281620 is an apocalyptic number.

2026289281620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2026289281620 is an abundant number, since it is smaller than the sum of its proper divisors (3669486810540).

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

2026289281620 is a wasteful number, since it uses less digits than its factorization.

2026289281620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27205 (or 27203 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2026289281620 in words is "two trillion, twenty-six billion, two hundred eighty-nine million, two hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 2710 3252 4065 5420 5939 8130 11878 16260 17817 20983 23756 29695 35634 41966 59390 62949 71268 83932 89085 104915 118780 125898 178170 209830 251796 314745 356340 419660 629490 1258980 1609469 3218938 4828407 5686393 6437876 8047345 9656814 11372786 16094690 17059179 19313628 22745572 24142035 28431965 32189380 34118358 48284070 56863930 68236716 85295895 96568140 113727860 124618037 170591790 249236074 341183580 373854111 498472148 623090185 747708222 1246180370 1495416444 1869270555 2492360740 3738541110 7477082220 33771488027 67542976054 101314464081 135085952108 168857440135 202628928162 337714880270 405257856324 506572320405 675429760540 1013144640810 2026289281620