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1991428032 = 263116411471
BaseRepresentation
bin111011010110010…
…1100011111000000
312010210020000200210
41312230230133000
513034301144112
6525335114120
7100230600426
oct16654543700
95123200623
101991428032
119321223a0
12476b12940
132597657a9
1414c6a7116
15b9c6cb3c
hex76b2c7c0

1991428032 has 112 divisors (see below), whose sum is σ = 5760866304. Its totient is φ = 602112000.

The previous prime is 1991428007. The next prime is 1991428037. The reversal of 1991428032 is 2308241991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991428037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353057 + ... + 1354527.

Almost surely, 21991428032 is an apocalyptic number.

1991428032 is a gapful number since it is divisible by the number (12) 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 1991428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880433152).

1991428032 is an abundant number, since it is smaller than the sum of its proper divisors (3769438272).

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

1991428032 is a wasteful number, since it uses less digits than its factorization.

1991428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1991428032 is about 44625.4191240822. The cubic root of 1991428032 is about 1258.1184716760.

The spelling of 1991428032 in words is "one billion, nine hundred ninety-one million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 641 704 1056 1282 1471 1923 2112 2564 2942 3846 4413 5128 5884 7051 7692 8826 10256 11768 14102 15384 16181 17652 20512 21153 23536 28204 30768 32362 35304 41024 42306 47072 48543 56408 61536 64724 70608 84612 94144 97086 112816 123072 129448 141216 169224 194172 225632 258896 282432 338448 388344 451264 517792 676896 776688 942911 1035584 1353792 1553376 1885822 2828733 3106752 3771644 5657466 7543288 10372021 11314932 15086576 20744042 22629864 30173152 31116063 41488084 45259728 60346304 62232126 82976168 90519456 124464252 165952336 181038912 248928504 331904672 497857008 663809344 995714016 1991428032