Search a number
-
+
1991596032 = 2113336017
BaseRepresentation
bin111011010110101…
…0101100000000000
312010210112120011000
41312231111200000
513034322033112
6525342452000
7100232200266
oct16655254000
95123476130
101991596032
11932227638
12476b94000
132597c40ba
1414c70c436
15b9ca27dc
hex76b55800

1991596032 has 96 divisors (see below), whose sum is σ = 5899748400. Its totient is φ = 663846912.

The previous prime is 1991596021. The next prime is 1991596043. The reversal of 1991596032 is 2306951991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1991596021) and next prime (1991596043).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37288 + ... + 73304.

Almost surely, 21991596032 is an apocalyptic number.

1991596032 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 1991596032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949874200).

1991596032 is an abundant number, since it is smaller than the sum of its proper divisors (3908152368).

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

1991596032 is an equidigital number, since it uses as much as digits as its factorization.

1991596032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36048 (or 36022 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1991596032 is about 44627.3014196467. The cubic root of 1991596032 is about 1258.1538496320.

The spelling of 1991596032 in words is "one billion, nine hundred ninety-one million, five hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 36017 55296 72034 108051 144068 216102 288136 324153 432204 576272 648306 864408 972459 1152544 1296612 1728816 1944918 2305088 2593224 3457632 3889836 4610176 5186448 6915264 7779672 9220352 10372896 13830528 15559344 18440704 20745792 27661056 31118688 36881408 41491584 55322112 62237376 73762816 82983168 110644224 124474752 165966336 221288448 248949504 331932672 497899008 663865344 995798016 1991596032