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1995018984 = 233473711887
BaseRepresentation
bin111011011101001…
…1001001011101000
312011000222110120000
41312322121023220
513041211101414
6525544103000
7100303244610
oct16672311350
95130873500
101995018984
11934155322
12478164a60
1325a42210a
1414cd5da40
15ba22bb09
hex76e992e8

1995018984 has 160 divisors (see below), whose sum is σ = 6559322880. Its totient is φ = 554553216.

The previous prime is 1995018983. The next prime is 1995019031. The reversal of 1995018984 is 4898105991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1995018984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995018983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161889 + ... + 173775.

It is an arithmetic number, because the mean of its divisors is an integer number (40995768).

Almost surely, 21995018984 is an apocalyptic number.

1995018984 is a gapful number since it is divisible by the number (14) 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 1995018984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279661440).

1995018984 is an abundant number, since it is smaller than the sum of its proper divisors (4564303896).

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

1995018984 is a wasteful number, since it uses less digits than its factorization.

1995018984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The square root of 1995018984 is about 44665.6353811294. The cubic root of 1995018984 is about 1258.8742325596.

The spelling of 1995018984 in words is "one billion, nine hundred ninety-five million, eighteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 84 108 111 126 148 162 168 189 216 222 252 259 296 324 333 378 444 504 518 567 648 666 756 777 888 999 1036 1134 1332 1512 1554 1998 2072 2268 2331 2664 2997 3108 3996 4536 4662 5994 6216 6993 7992 9324 11887 11988 13986 18648 20979 23774 23976 27972 35661 41958 47548 55944 71322 83209 83916 95096 106983 142644 166418 167832 213966 249627 285288 320949 332836 427932 439819 499254 641898 665672 748881 855864 879638 962847 998508 1283796 1319457 1497762 1759276 1925694 1997016 2246643 2567592 2638914 2995524 3078733 3518552 3851388 3958371 4493286 5277828 5991048 6157466 6739929 7702776 7916742 8986572 9236199 10555656 11875113 12314932 13479858 15833484 17973144 18472398 23750226 24629864 26959716 27708597 31666968 35625339 36944796 47500452 53919432 55417194 71250678 73889592 83125791 95000904 110834388 142501356 166251582 221668776 249377373 285002712 332503164 498754746 665006328 997509492 1995018984