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1157718985971 = 3193133110931811
BaseRepresentation
bin10000110110001101011…
…011011100110011110011
311002200021102112001110220
4100312031123130303303
5122432002030022341
62243503155424123
7146433233004402
oct20661533346363
94080242461426
101157718985971
11406a93205499
121684598b5043
1385231aaa002
1440069031639
15201acd32a66
hex10d8d6dccf3

1157718985971 has 64 divisors (see below), whose sum is σ = 1684820213760. Its totient is φ = 704431728000.

The previous prime is 1157718985967. The next prime is 1157718985979. The reversal of 1157718985971 is 1795898177511.

It is not a de Polignac number, because 1157718985971 - 22 = 1157718985967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1157718985896 and 1157718985905.

It is not an unprimeable number, because it can be changed into a prime (1157718985979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639269656 + ... + 639271466.

It is an arithmetic number, because the mean of its divisors is an integer number (26325315840).

Almost surely, 21157718985971 is an apocalyptic number.

1157718985971 is a deficient number, since it is larger than the sum of its proper divisors (527101227789).

1157718985971 is a wasteful number, since it uses less digits than its factorization.

1157718985971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288.

The product of its digits is 44452800, while the sum is 69.

The spelling of 1157718985971 in words is "one trillion, one hundred fifty-seven billion, seven hundred eighteen million, nine hundred eighty-five thousand, nine hundred seventy-one".

Divisors: 1 3 19 31 57 93 331 589 993 1093 1767 1811 3279 5433 6289 10261 18867 20767 30783 33883 34409 56141 62301 101649 103227 168423 194959 361783 584877 599441 643777 1066679 1085349 1798323 1931331 1979423 3200037 5938269 6873877 11215273 11389379 18582671 20621631 33645819 34168137 37609037 55748013 61362113 112827111 184086339 213090187 353070749 639270561 655189013 1059212247 1165880147 1965567039 3497640441 12448591247 20310859403 37345773741 60932578209 385906328657 1157718985971