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199109199671184 = 24311433967900623
BaseRepresentation
bin101101010001011010111001…
…000111100010111110010000
3222002222122122110122200201110
4231101122321013202332100
5202044201120103434214
61543245300434533320
756640110403412665
oct5521327107427620
9862878573580643
10199109199671184
11584958124a26a0
121a3b8844137240
138713bbc7537ba
143724d1838ba6c
151804449531159
hexb516b91e2f90

199109199671184 has 160 divisors (see below), whose sum is σ = 563004069433344. Its totient is φ = 60134458890240.

The previous prime is 199109199671167. The next prime is 199109199671243. The reversal of 199109199671184 is 481176991901991.

199109199671184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220629097 + ... + 221529719.

Almost surely, 2199109199671184 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 199109199671184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281502034716672).

199109199671184 is an abundant number, since it is smaller than the sum of its proper divisors (363894869762160).

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

199109199671184 is a wasteful number, since it uses less digits than its factorization.

199109199671184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902045 (or 902039 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 75.

The spelling of 199109199671184 in words is "one hundred ninety-nine trillion, one hundred nine billion, one hundred ninety-nine million, six hundred seventy-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 433 528 866 967 1299 1732 1934 2598 2901 3464 3868 4763 5196 5802 6928 7736 9526 10392 10637 11604 14289 15472 19052 20784 21274 23208 28578 31911 38104 42548 46416 57156 63822 76208 85096 114312 127644 170192 228624 255288 418711 510576 837422 900623 1256133 1674844 1801246 2512266 2701869 3349688 3602492 4605821 5024532 5403738 6699376 7204984 9211642 9906853 10049064 10807476 13817463 14409968 18423284 19813706 20098128 21614952 27634926 29720559 36846568 39627412 43229904 55269852 59441118 73693136 79254824 110539704 118882236 158509648 221079408 237764472 389969759 475528944 779939518 870902441 1169909277 1559879036 1741804882 2339818554 2612707323 3119758072 3483609764 4289667349 4679637108 5225414646 6239516144 6967219528 8579334698 9359274216 9579926851 10450829292 12869002047 13934439056 17158669396 18718548432 19159853702 20901658584 25738004094 28739780553 34317338792 38319707404 41803317168 51476008188 57479561106 68634677584 76639414808 102952016376 114959122212 153278829616 205904032752 229918244424 377100756953 459836488848 754201513906 1131302270859 1508403027812 2262604541718 3016806055624 4148108326483 4525209083436 6033612111248 8296216652966 9050418166872 12444324979449 16592433305932 18100836333744 24888649958898 33184866611864 49777299917796 66369733223728 99554599835592 199109199671184