Search a number
-
+
11703177472 = 28747283491
BaseRepresentation
bin10101110011001000…
…00101000100000000
31010012121121000101111
422321210011010000
5142432003134342
65213143413104
7563005236640
oct127144050400
933177530344
1011703177472
114a661584a8
122327454194
13114680a0ac
147d0434520
1548768d217
hex2b9905100

11703177472 has 144 divisors (see below), whose sum is σ = 27417987072. Its totient is φ = 4881623040.

The previous prime is 11703177449. The next prime is 11703177487. The reversal of 11703177472 is 27477130711.

It is a super-3 number, since 3×117031774723 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23835147 + ... + 23835637.

It is an arithmetic number, because the mean of its divisors is an integer number (190402688).

Almost surely, 211703177472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11703177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708993536).

11703177472 is an abundant number, since it is smaller than the sum of its proper divisors (15714809600).

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

11703177472 is an equidigital number, since it uses as much as digits as its factorization.

11703177472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 11703177472 in words is "eleven billion, seven hundred three million, one hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 283 329 376 448 491 566 658 752 896 982 1132 1316 1504 1792 1964 1981 2264 2632 3008 3437 3928 3962 4528 5264 6016 6874 7856 7924 9056 10528 12032 13301 13748 15712 15848 18112 21056 23077 26602 27496 31424 31696 36224 42112 46154 53204 54992 62848 63392 72448 84224 92308 93107 106408 109984 125696 126784 138953 161539 184616 186214 212816 219968 253568 277906 323078 369232 372428 425632 439936 507136 555812 646156 738464 744856 851264 879872 972671 1111624 1292312 1476928 1489712 1702528 1945342 2223248 2584624 2953856 2979424 3405056 3890684 4446496 5169248 5907712 5958848 6530791 7781368 8892992 10338496 11917696 13061582 15562736 17785984 20676992 23835392 26123164 31125472 35571968 41353984 45715537 52246328 62250944 91431074 104492656 124501888 182862148 208985312 249003776 365724296 417970624 731448592 835941248 1462897184 1671882496 2925794368 5851588736 11703177472