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1328967261916 = 227192617927283
BaseRepresentation
bin10011010101101100100…
…111110001111011011100
311201001022000100211021121
4103111230213301323130
5133233211104340131
62454304044340324
7165005022225130
oct23255447617334
94631260324247
101328967261916
11472680411878
121956905446a4
139842352bcc8
14484727a33c0
1524882052911
hex1356c9f1edc

1328967261916 has 144 divisors (see below), whose sum is σ = 2887371863040. Its totient is φ = 523997735040.

The previous prime is 1328967261913. The next prime is 1328967261943. The reversal of 1328967261916 is 6191627698231.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328967261911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48696811 + ... + 48724093.

Almost surely, 21328967261916 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 1328967261916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443685931520).

1328967261916 is an abundant number, since it is smaller than the sum of its proper divisors (1558404601124).

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

1328967261916 is a wasteful number, since it uses less digits than its factorization.

1328967261916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27472 (or 27451 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 61.

The spelling of 1328967261916 in words is "one trillion, three hundred twenty-eight billion, nine hundred sixty-seven million, two hundred sixty-one thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 61 76 79 122 133 158 244 266 316 361 427 532 553 722 854 1106 1159 1444 1501 1708 2212 2318 2527 3002 4636 4819 5054 6004 8113 9638 10108 10507 16226 19276 21014 22021 27283 28519 32452 33733 42028 44042 54566 57038 67466 88084 91561 109132 114076 134932 154147 183122 190981 199633 308294 366244 381962 399266 518377 616588 640927 763924 798532 1036754 1281854 1664263 1739659 2073508 2155357 2563708 3328526 3479318 3628639 4310714 6657052 6958636 7257278 8621428 9849163 11649841 12177613 14514556 15087499 19698326 23299682 24355226 30174998 31620997 39396652 40951783 46599364 48710452 60349996 63241994 68944141 81903566 126483988 131476777 137888282 163807132 221346979 262953554 275776564 286662481 442693958 525907108 573324962 600798943 778083877 885387916 920337439 1146649924 1201597886 1556167754 1840674878 2403195772 2498058763 3112335508 3681349756 4205592601 4996117526 5446587139 8411185202 9992235052 10893174278 16822370404 17486411341 21786348556 34972822682 47463116497 69945645364 94926232994 189852465988 332241815479 664483630958 1328967261916