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1331033043968 = 2109713797813
BaseRepresentation
bin10011010111100111110…
…000000111010000000000
311201020121222111102111222
4103113213300013100000
5133301423424401333
62455245041254212
7165110145125255
oct23274760072000
94636558442458
101331033043968
114735404a9471
12195b68334368
13986924c9054
14485caca342c
15249535ab298
hex135e7c07400

1331033043968 has 88 divisors (see below), whose sum is σ = 2707846389192. Its totient is φ = 653841137664.

The previous prime is 1331033043931. The next prime is 1331033043971. The reversal of 1331033043968 is 8693403301331.

It can be written as a sum of positive squares in 4 ways, for example, as 289392354304 + 1041640689664 = 537952^2 + 1020608^2 .

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 7 ways as a sum of consecutive naturals, for example, 13559030 + ... + 13656842.

Almost surely, 21331033043968 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 1331033043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353923194596).

1331033043968 is an abundant number, since it is smaller than the sum of its proper divisors (1376813345224).

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

1331033043968 is an equidigital number, since it uses as much as digits as its factorization.

1331033043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98067 (or 98049 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 1331033043968 in words is "one trillion, three hundred thirty-one billion, thirty-three million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 137 194 256 274 388 512 548 776 1024 1096 1552 2192 3104 4384 6208 8768 12416 13289 17536 24832 26578 35072 49664 53156 70144 97813 99328 106312 140288 195626 212624 391252 425248 782504 850496 1565008 1700992 3130016 3401984 6260032 6803968 9487861 12520064 13400381 13607936 18975722 25040128 26800762 37951444 50080256 53601524 75902888 100160512 107203048 151805776 214406096 303611552 428812192 607223104 857624384 1214446208 1299836957 1715248768 2428892416 2599673914 3430497536 4857784832 5199347828 6860995072 9715569664 10398695656 13721990144 20797391312 41594782624 83189565248 166379130496 332758260992 665516521984 1331033043968