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1991123946 = 2327176831361
BaseRepresentation
bin111011010101110…
…0010001111101010
312010202122120120100
41312223202033222
513034211431241
6525324410230
7100225163040
oct16653421752
95122576510
101991123946
11931a34989
124769a6976
1325968a266
1414c628390
15b9c0c9b6
hex76ae23ea

1991123946 has 96 divisors (see below), whose sum is σ = 5231910528. Its totient is φ = 534251520.

The previous prime is 1991123909. The next prime is 1991123969. The reversal of 1991123946 is 6493211991.

It is a super-2 number, since 2×19911239462 = 7929149136669221832, which contains 22 as substring.

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, 1462306 + ... + 1463666.

It is an arithmetic number, because the mean of its divisors is an integer number (54499068).

Almost surely, 21991123946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991123946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615955264).

1991123946 is an abundant number, since it is smaller than the sum of its proper divisors (3240786582).

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

1991123946 is a wasteful number, since it uses less digits than its factorization.

1991123946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2073 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1991123946 is about 44622.0118999581. The cubic root of 1991123946 is about 1258.0544312517.

The spelling of 1991123946 in words is "one billion, nine hundred ninety-one million, one hundred twenty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 683 714 1071 1361 1366 2049 2142 2722 4083 4098 4781 6147 8166 9527 9562 11611 12249 12294 14343 19054 23137 23222 24498 28581 28686 34833 43029 46274 57162 69411 69666 81277 85743 86058 104499 138822 161959 162554 171486 208233 208998 243831 323918 416466 485877 487662 731493 929563 971754 1457631 1462986 1859126 2788689 2915262 5577378 6506941 8366067 13013882 15802571 16732134 19520823 31605142 39041646 47407713 58562469 94815426 110617997 117124938 142223139 221235994 284446278 331853991 663707982 995561973 1991123946