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1330227349956 = 2234311071237757
BaseRepresentation
bin10011010110110111101…
…110101000100111000100
311201011112211102221010000
4103112313232220213010
5133243301200144311
62455033100401300
7165051162625161
oct23266756504704
94634484387100
101330227349956
1147316772964a
12195982546230
139859460152b
1448551c95068
15249079ac056
hex135b7ba89c4

1330227349956 has 120 divisors (see below), whose sum is σ = 3623204825856. Its totient is φ = 425094920640.

The previous prime is 1330227349939. The next prime is 1330227350027. The reversal of 1330227349956 is 6599437220331.

1330227349956 is a `hidden beast` number, since 1 + 3 + 30 + 2 + 2 + 73 + 499 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455830 + ... + 1693586.

Almost surely, 21330227349956 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 1330227349956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811602412928).

1330227349956 is an abundant number, since it is smaller than the sum of its proper divisors (2292977475900).

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

1330227349956 is a wasteful number, since it uses less digits than its factorization.

1330227349956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237911 (or 1237900 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 1330227349956 in words is "one trillion, three hundred thirty billion, two hundred twenty-seven million, three hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 107 108 124 162 186 214 279 321 324 372 428 558 642 837 963 1116 1284 1674 1926 2511 2889 3317 3348 3852 5022 5778 6634 8667 9951 10044 11556 13268 17334 19902 29853 34668 39804 59706 89559 119412 179118 268677 358236 537354 1074708 1237757 2475514 3713271 4951028 7426542 11139813 14853084 22279626 33419439 38370467 44559252 66838878 76740934 100258317 115111401 132439999 133677756 153481868 200516634 230222802 264879998 345334203 397319997 401033268 460445604 529759996 690668406 794639994 1036002609 1191959991 1381336812 1589279988 2072005218 2383919982 3108007827 3575879973 4105639969 4144010436 4767839964 6216015654 7151759946 8211279938 10727639919 12316919907 12432031308 14303519892 16422559876 21455279838 24633839814 36950759721 42910559676 49267679628 73901519442 110852279163 147803038884 221704558326 332556837489 443409116652 665113674978 1330227349956