Search a number
-
+
90943548009516 = 22331766959739759
BaseRepresentation
bin10100101011011001110001…
…110111111010110000101100
3102221000010012020010110021000
4110223121301313322300230
543410004341242301031
6521230520022040300
725104311620313226
oct2453316167726054
9387003166113230
1090943548009516
1126a82a3aa5a064
12a249576279090
133b98c2a904ab7
141865996971416
15a7a9b50d23e6
hex52b671dfac2c

90943548009516 has 96 divisors (see below), whose sum is σ = 249653021184000. Its totient is φ = 28530844510464.

The previous prime is 90943548009407. The next prime is 90943548009529. The reversal of 90943548009516 is 61590084534909.

90943548009516 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 35 + 4 + 80 + 0 + 9 + 516 = 666.

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, 122566845 + ... + 123306603.

It is an arithmetic number, because the mean of its divisors is an integer number (2600552304000).

Almost surely, 290943548009516 is an apocalyptic number.

It is an amenable number.

90943548009516 is an abundant number, since it is smaller than the sum of its proper divisors (158709473174484).

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

90943548009516 is a wasteful number, since it uses less digits than its factorization.

90943548009516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806748 (or 806740 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 90943548009516 in words is "ninety trillion, nine hundred forty-three billion, five hundred forty-eight million, nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 66959 133918 200877 267836 401754 602631 739759 803508 1138303 1205262 1479518 1807893 2219277 2276606 2410524 2959036 3414909 3615786 4438554 4553212 6657831 6829818 7231572 8877108 10244727 12575903 13315662 13659636 19973493 20489454 25151806 26631324 30734181 37727709 39946986 40978908 50303612 61468362 75455418 79893972 113183127 122936724 150910836 226366254 339549381 452732508 679098762 1358197524 49533522881 99067045762 148600568643 198134091524 297201137286 445801705929 594402274572 842069888977 891603411858 1337405117787 1684139777954 1783206823716 2526209666931 2674810235574 3368279555908 5052419333862 5349620471148 7578629000793 10104838667724 15157258001586 22735887002379 30314516003172 45471774004758 90943548009516