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3369503487872 = 275910129315077
BaseRepresentation
bin110001000010000110000…
…011101111011110000000
3102221010021111021022110202
4301002012003233132000
5420201220343102442
611055532321344332
7465303303040034
oct61020603573600
912833244238422
103369503487872
111089aa8970145
12465047a980a8
131b5986c727a2
14b9128b261c4
155c9adb38c32
hex310860ef780

3369503487872 has 128 divisors (see below), whose sum is σ = 6918033679200. Its totient is φ = 1634093670400.

The previous prime is 3369503487863. The next prime is 3369503487919. The reversal of 3369503487872 is 2787843059633.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33695034878722 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3369503487799 and 3369503487808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223478798 + ... + 223493874.

Almost surely, 23369503487872 is an apocalyptic number.

3369503487872 is a gapful number since it is divisible by the number (32) 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 3369503487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459016839600).

3369503487872 is an abundant number, since it is smaller than the sum of its proper divisors (3548530191328).

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

3369503487872 is a wasteful number, since it uses less digits than its factorization.

3369503487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15544 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 3369503487872 in words is "three trillion, three hundred sixty-nine billion, five hundred three million, four hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 101 118 128 202 236 293 404 472 586 808 944 1172 1616 1888 2344 3232 3776 4688 5959 6464 7552 9376 11918 12928 15077 17287 18752 23836 29593 30154 34574 37504 47672 59186 60308 69148 95344 118372 120616 138296 190688 236744 241232 276592 381376 473488 482464 553184 762752 889543 946976 964928 1106368 1522777 1745987 1779086 1893952 1929856 2212736 3045554 3491974 3558172 3787904 4417561 6091108 6983948 7116344 8835122 12182216 13967896 14232688 17670244 24364432 27935792 28465376 35340488 48728864 55871584 56930752 70680976 89843843 97457728 111743168 113861504 141361952 179687686 194915456 223486336 260636099 282723904 359375372 446173661 521272198 565447808 718750744 892347322 1042544396 1437501488 1784694644 2085088792 2875002976 3569389288 4170177584 5750005952 7138778576 8340355168 11500011904 14277557152 16680710336 26324245999 28555114304 33361420672 52648491998 57110228608 105296983996 210593967992 421187935984 842375871968 1684751743936 3369503487872