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1331761411552 = 251113859338803
BaseRepresentation
bin10011011000010011001…
…010100111010111100000
311201022111202001100000011
4103120103022213113200
5133304421410132202
62455445220534304
7165134201136025
oct23302312472740
94638452040004
101331761411552
11473884663850
12196130251394
139877a38b3a0
144865990354c
15249974d3bd7
hex136132a75e0

1331761411552 has 96 divisors (see below), whose sum is σ = 3083875320960. Its totient is φ = 558128862720.

The previous prime is 1331761411543. The next prime is 1331761411579. The reversal of 1331761411552 is 2551141671331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761383 + ... + 4100185.

It is an arithmetic number, because the mean of its divisors is an integer number (32123701260).

Almost surely, 21331761411552 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 1331761411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541937660480).

1331761411552 is an abundant number, since it is smaller than the sum of its proper divisors (1752113909408).

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

1331761411552 is a wasteful number, since it uses less digits than its factorization.

1331761411552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339696 (or 339688 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The spelling of 1331761411552 in words is "one trillion, three hundred thirty-one billion, seven hundred sixty-one million, four hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 859 1144 1718 2288 3436 4576 6872 9449 11167 13744 18898 22334 27488 37796 44668 75592 89336 122837 151184 178672 245674 302368 338803 357344 491348 677606 982696 1355212 1965392 2710424 3726833 3930784 4404439 5420848 7453666 8808878 10841696 14907332 17617756 29814664 35235512 48448829 59629328 70471024 96897658 119258656 140942048 193795316 291031777 387590632 582063554 775181264 1164127108 1550362528 2328254216 3201349547 3783413101 4656508432 6402699094 7566826202 9313016864 12805398188 15133652404 25610796376 30267304808 41617544111 51221592752 60534609616 83235088222 102443185504 121069219232 166470176444 332940352888 665880705776 1331761411552