Search a number
-
+
11693957094528 = 27344967824083
BaseRepresentation
bin1010101000101011011000…
…1010001001110010000000
31112101221010222100200010120
42222022312022021302000
53013043211004011103
640512044004300240
72314601105152542
oct252126612116200
945357128320116
1011693957094528
1137a9419a12255
12138a44a6a1680
1366a973952087
142c5dc209d692
151542beea1253
hexaa2b6289c80

11693957094528 has 64 divisors (see below), whose sum is σ = 31131254556000. Its totient is φ = 3889304158208.

The previous prime is 11693957094439. The next prime is 11693957094529. The reversal of 11693957094528 is 82549075939611.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11693957094529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33739626 + ... + 34084457.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11693957094528 = 23387914189056, but 3⋅11693957094528 = 35081871283584 is not.

Almost surely, 211693957094528 is an apocalyptic number.

It is an amenable number.

11693957094528 is an abundant number, since it is smaller than the sum of its proper divisors (19437297461472).

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

11693957094528 is an equidigital number, since it uses as much as digits as its factorization.

11693957094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67824549 (or 67824537 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 11693957094528 in words is "eleven trillion, six hundred ninety-three billion, nine hundred fifty-seven million, ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 28736 43104 57472 86208 172416 67824083 135648166 203472249 271296332 406944498 542592664 813888996 1085185328 1627777992 2170370656 3255555984 4340741312 6511111968 8681482624 13022223936 26044447872 30453013267 60906026534 91359039801 121812053068 182718079602 243624106136 365436159204 487248212272 730872318408 974496424544 1461744636816 1948992849088 2923489273632 3897985698176 5846978547264 11693957094528