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1991442516 = 2237219397449
BaseRepresentation
bin111011010110011…
…0000000001010100
312010210020202120020
41312230300001110
513034302130031
6525335305140
7100230660600
oct16654600124
95123222506
101991442516
11932132268
12476b1b1b0
1325976c26b
1414c6ac500
15b9c72096
hex76b30054

1991442516 has 144 divisors (see below), whose sum is σ = 5716872000. Its totient is φ = 536481792.

The previous prime is 1991442503. The next prime is 1991442533. The reversal of 1991442516 is 6152441991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 4435060 + ... + 4435508.

It is an arithmetic number, because the mean of its divisors is an integer number (39700500).

Almost surely, 21991442516 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 1991442516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858436000).

1991442516 is an abundant number, since it is smaller than the sum of its proper divisors (3725429484).

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

1991442516 is a wasteful number, since it uses less digits than its factorization.

1991442516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1991442516 is about 44625.5814079772. The cubic root of 1991442516 is about 1258.1215218395.

The spelling of 1991442516 in words is "one billion, nine hundred ninety-one million, four hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 397 399 449 532 588 794 798 898 931 1191 1347 1588 1596 1796 1862 2382 2694 2779 2793 3143 3724 4764 5388 5558 5586 6286 7543 8337 8531 9429 11116 11172 12572 15086 16674 17062 18858 19453 22001 22629 25593 30172 33348 34124 37716 38906 44002 45258 51186 52801 58359 59717 66003 77812 88004 90516 102372 105602 116718 119434 132006 158403 178253 179151 211204 233436 238868 264012 316806 356506 358302 369607 418019 534759 633612 713012 716604 739214 836038 1069518 1108821 1247771 1254057 1478428 1672076 2139036 2217642 2495542 2508114 3386807 3743313 4435284 4991084 5016228 6773614 7486626 8734397 10160421 13547228 14973252 17468794 20320842 23707649 26203191 34937588 40641684 47415298 52406382 71122947 94830596 104812764 142245894 165953543 284491788 331907086 497860629 663814172 995721258 1991442516