Search a number
-
+
1166463453312 = 27321377390913
BaseRepresentation
bin10000111110010110101…
…000111100100010000000
311010111211211210000120200
4100332112220330202000
5123102404121001222
62251511012005200
7150163023521313
oct20762650744200
94114754700520
101166463453312
1140a770234203
1216a09a300800
1385cc662b541
144065852a97a
1520520885eac
hex10f96a3c880

1166463453312 has 96 divisors (see below), whose sum is σ = 3381121427580. Its totient is φ = 385982988288.

The previous prime is 1166463453299. The next prime is 1166463453343. The reversal of 1166463453312 is 2133543646611.

1166463453312 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 4 + 634 + 5 + 3 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1165415247936 + 1048205376 = 1079544^2 + 32376^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3537633 + ... + 3853280.

Almost surely, 21166463453312 is an apocalyptic number.

1166463453312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1166463453312 is an abundant number, since it is smaller than the sum of its proper divisors (2214657974268).

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

1166463453312 is a wasteful number, since it uses less digits than its factorization.

1166463453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391070 (or 7391055 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 1166463453312 in words is "one trillion, one hundred sixty-six billion, four hundred sixty-three million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 1096 1152 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 26304 39456 52608 78912 157824 7390913 14781826 22172739 29563652 44345478 59127304 66518217 88690956 118254608 133036434 177381912 236509216 266072868 354763824 473018432 532145736 709527648 946036864 1012555081 1064291472 1419055296 2025110162 2128582944 2838110592 3037665243 4050220324 4257165888 6075330486 8100440648 8514331776 9112995729 12150660972 16200881296 18225991458 24301321944 32401762592 36451982916 48602643888 64803525184 72903965832 97205287776 129607050368 145807931664 194410575552 291615863328 388821151104 583231726656 1166463453312