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1330798954968 = 23347793713747
BaseRepresentation
bin10011010111011001110…
…011001000100111011000
311201020000200000110210000
4103113121303020213120
5133300434013024333
62455205520053000
7165101303322120
oct23273163104730
94636020013700
101330798954968
1147343035298a
12195b01a64160
1398655b67852
14485a7b69c80
152493cc6b713
hex135d9cc89d8

1330798954968 has 160 divisors (see below), whose sum is σ = 4313889676800. Its totient is φ = 375415155648.

The previous prime is 1330798954949. The next prime is 1330798954987. The reversal of 1330798954968 is 8694598970331.

1330798954968 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 79 + 8 + 9 + 549 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1330798954949) and next prime (1330798954987).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1330798954896 and 1330798954905.

It is a congruent number.

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, 1498530 + ... + 2215217.

It is an arithmetic number, because the mean of its divisors is an integer number (26961810480).

Almost surely, 21330798954968 is an apocalyptic number.

1330798954968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1330798954968 is an abundant number, since it is smaller than the sum of its proper divisors (2983090721832).

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

1330798954968 is a wasteful number, since it uses less digits than its factorization.

1330798954968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713851 (or 3713838 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 1330798954968 in words is "one trillion, three hundred thirty billion, seven hundred ninety-eight million, nine hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 81 84 108 126 158 162 168 189 216 237 252 316 324 378 474 504 553 567 632 648 711 756 948 1106 1134 1422 1512 1659 1896 2133 2212 2268 2844 3318 4266 4424 4536 4977 5688 6399 6636 8532 9954 12798 13272 14931 17064 19908 25596 29862 39816 44793 51192 59724 89586 119448 179172 358344 3713747 7427494 11141241 14854988 22282482 25996229 29709976 33423723 44564964 51992458 66847446 77988687 89129928 100271169 103984916 133694892 155977374 200542338 207969832 233966061 267389784 293386013 300813507 311954748 401084676 467932122 586772026 601627014 623909496 701898183 802169352 880158039 935864244 1173544052 1203254028 1403796366 1760316078 1871728488 2053702091 2105694549 2347088104 2406508056 2640474117 2807592732 3520632156 4107404182 4211389098 5280948234 5615185464 6161106273 7041264312 7921422351 8214808364 8422778196 10561896468 12322212546 15842844702 16429616728 16845556392 18483318819 21123792936 23764267053 24644425092 31685689404 36966637638 47528534106 49288850184 55449956457 63371378808 73933275276 95057068212 110899912914 147866550552 166349869371 190114136424 221799825828 332699738742 443599651656 665399477484 1330798954968