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320191139638384 = 24753712753275963
BaseRepresentation
bin100100011001101100100111…
…1001000110110110001110000
31112222200222022001100202211221
41020303121033020312301300
5313432002423221412014
63052553440124114424
7124305021633600640
oct11063311710666160
91488628261322757
10320191139638384
1193028332a61953
122bab3230995a14
1310987b831692a1
14590d49610c520
152703d8dd71b24
hex123364f236c70

320191139638384 has 160 divisors (see below), whose sum is σ = 732814922271744. Its totient is φ = 132690653921280.

The previous prime is 320191139638369. The next prime is 320191139638417. The reversal of 320191139638384 is 483836931191023.

It is a super-2 number, since 2×3201911396383842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160130387 + ... + 1160406349.

Almost surely, 2320191139638384 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 320191139638384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366407461135872).

320191139638384 is an abundant number, since it is smaller than the sum of its proper divisors (412623782633360).

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

320191139638384 is a wasteful number, since it uses less digits than its factorization.

320191139638384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278855 (or 278849 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 320191139638384 in words is "three hundred twenty trillion, one hundred ninety-one billion, one hundred thirty-nine million, six hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 71 106 112 142 212 284 371 424 497 568 742 848 994 1136 1484 1988 2753 2968 3763 3976 5506 5936 7526 7952 11012 15052 19271 22024 26341 30104 38542 44048 52682 60208 77084 105364 145909 154168 195463 210728 275963 291818 308336 390926 421456 551926 583636 781852 1021363 1103852 1167272 1368241 1563704 1931741 2042726 2207704 2334544 2736482 3127408 3863482 4085452 4415408 5472964 7726964 8170904 10359539 10945928 14626039 15453928 16341808 19593373 20719078 21891856 29252078 30907856 39186746 41438156 58504156 72516773 78373492 82876312 102382273 117008312 137153611 145033546 156746984 165752624 204764546 234016624 274307222 290067092 313493968 409529092 548614444 580134184 759726139 819058184 1038448769 1097228888 1160268368 1519452278 1638116368 2076897538 2194457776 3038904556 4153795076 5318082973 6077809112 7269141383 8307590152 10636165946 12155618224 14538282766 16615180304 21272331892 29076565532 40265485367 42544663784 53940555869 58153131064 80530970734 85089327568 107881111738 116306262128 161061941468 215762223476 281858397569 322123882936 377583891083 431524446952 563716795138 644247765872 755167782166 863048893904 1127433590276 1510335564332 2254867180552 2858849461057 3020671128664 4509734361104 5717698922114 6041342257328 11435397844228 20011946227399 22870795688456 40023892454798 45741591376912 80047784909596 160095569819192 320191139638384