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1330071681078 = 23472758922079
BaseRepresentation
bin10011010110101110011…
…100110011100000110110
311201011010222112010120000
4103112232130303200312
5133242441322243303
62455005420052130
7165044262515100
oct23265634634066
94634128463500
101330071681078
11473097875288
1219593a394046
139856b29927a
1448539332570
15248e8eacda3
hex135ae733836

1330071681078 has 120 divisors (see below), whose sum is σ = 3467546755200. Its totient is φ = 379953195552.

The previous prime is 1330071681077. The next prime is 1330071681229. The reversal of 1330071681078 is 8701861700331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330071681077) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60230443 + ... + 60252521.

It is an arithmetic number, because the mean of its divisors is an integer number (28896222960).

Almost surely, 21330071681078 is an apocalyptic number.

1330071681078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330071681078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733773377600).

1330071681078 is an abundant number, since it is smaller than the sum of its proper divisors (2137475074122).

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

1330071681078 is a wasteful number, since it uses less digits than its factorization.

1330071681078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29696 (or 29680 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1330071681078 in words is "one trillion, three hundred thirty billion, seventy-one million, six hundred eighty-one thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7589 7938 15178 22079 22767 44158 45534 53123 66237 68301 106246 132474 136602 154553 159369 198711 204903 309106 318738 371861 397422 409806 463659 478107 596133 614709 743722 927318 956214 1081871 1115583 1192266 1229418 1390977 1434321 1788399 2163742 2231166 2781954 2868642 3245613 3346749 3576798 4172931 4302963 6491226 6693498 8345862 8605926 9736839 10040247 12518793 19473678 20080494 25037586 29210517 30120741 58421034 60241482 87631551 167557531 175263102 335115062 502672593 1005345186 1172902717 1508017779 2345805434 3016035558 3518708151 4524053337 7037416302 8210319019 9048106674 10556124453 13572160011 16420638038 21112248906 24630957057 27144320022 31668373359 49261914114 63336746718 73892871171 95005120077 147785742342 190010240154 221678613513 443357227026 665035840539 1330071681078