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1980181836 = 223337259227
BaseRepresentation
bin111011000000111…
…0010110101001100
312010000001122211000
41312001302311030
513023411304321
6524254100300
7100033160613
oct16601626514
95100048730
101980181836
11926840a16
124731aa690
13257328939
1414adba87a
15b8c9a826
hex76072d4c

1980181836 has 144 divisors (see below), whose sum is σ = 5389372800. Its totient is φ = 628554816.

The previous prime is 1980181807. The next prime is 1980181871. The reversal of 1980181836 is 6381810891.

It is a super-2 number, since 2×19801818362 = 7842240207248661792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1980181791 and 1980181800.

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, 8723155 + ... + 8723381.

It is an arithmetic number, because the mean of its divisors is an integer number (37426200).

Almost surely, 21980181836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980181836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694686400).

1980181836 is an abundant number, since it is smaller than the sum of its proper divisors (3409190964).

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

1980181836 is a wasteful number, since it uses less digits than its factorization.

1980181836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1980181836 is about 44499.2341057686. The cubic root of 1980181836 is about 1255.7456743293.

The spelling of 1980181836 in words is "one billion, nine hundred eighty million, one hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 59 74 108 111 118 148 177 222 227 236 333 354 444 454 531 666 681 708 908 999 1062 1332 1362 1369 1593 1998 2043 2124 2183 2724 2738 3186 3996 4086 4107 4366 5476 6129 6372 6549 8172 8214 8399 8732 12258 12321 13098 13393 16428 16798 19647 24516 24642 25197 26196 26786 33596 36963 39294 40179 49284 50394 53572 58941 73926 75591 78588 80358 80771 100788 117882 120537 147852 151182 160716 161542 226773 235764 241074 242313 302364 310763 323084 361611 453546 482148 484626 495541 621526 723222 726939 907092 932289 969252 991082 1243052 1446444 1453878 1486623 1864578 1982164 2180817 2796867 2907756 2973246 3729156 4361634 4459869 5593734 5946492 8390601 8723268 8919738 11187468 13379607 16781202 17839476 18335017 26759214 33562404 36670034 53518428 55005051 73340068 110010102 165015153 220020204 330030306 495045459 660060612 990090918 1980181836