Search a number
-
+
1351050764064 = 253233171930249
BaseRepresentation
bin10011101010010000111…
…001101001111100100000
311210011022001100222011120
4103222100321221330200
5134113422443422224
62512355242412240
7166416204004251
oct23522071517440
94704261328146
101351050764064
11480a82a308a1
12199a14201080
139a532769441
144956967cb28
1525225b77779
hex13a90e69f20

1351050764064 has 96 divisors (see below), whose sum is σ = 3712380336000. Its totient is φ = 429410691072.

The previous prime is 1351050764051. The next prime is 1351050764081. The reversal of 1351050764064 is 4604670501531.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265189 + ... + 1665060.

It is an arithmetic number, because the mean of its divisors is an integer number (38670628500).

Almost surely, 21351050764064 is an apocalyptic number.

It is an amenable number.

1351050764064 is an abundant number, since it is smaller than the sum of its proper divisors (2361329571936).

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

1351050764064 is a wasteful number, since it uses less digits than its factorization.

1351050764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930602 (or 1930594 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 1351050764064 in words is "one trillion, three hundred fifty-one billion, fifty million, seven hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 317 368 552 634 736 951 1104 1268 1902 2208 2536 3804 5072 7291 7608 10144 14582 15216 21873 29164 30432 43746 58328 87492 116656 174984 233312 349968 699936 1930249 3860498 5790747 7720996 11581494 15441992 23162988 30883984 44395727 46325976 61767968 88791454 92651952 133187181 177582908 185303904 266374362 355165816 532748724 611888933 710331632 1065497448 1223777866 1420663264 1835666799 2130994896 2447555732 3671333598 4261989792 4895111464 7342667196 9790222928 14073445459 14685334392 19580445856 28146890918 29370668784 42220336377 56293781836 58741337568 84440672754 112587563672 168881345508 225175127344 337762691016 450350254688 675525382032 1351050764064