Search a number
-
+
11704924432416 = 253547222899993
BaseRepresentation
bin1010101001010100001111…
…0111001110100000100000
31112102222110022100011101010
42222111003313032200200
53013233141123314131
640521100144340520
72315436640041555
oct252250367164040
945388408304333
1011704924432416
113803037771566
1213905ab614740
1366ba00b81b17
142c67428aaa2c
15154712c3cb46
hexaa543dce820

11704924432416 has 48 divisors (see below), whose sum is σ = 30781597571424. Its totient is φ = 3894508660224.

The previous prime is 11704924432391. The next prime is 11704924432417. The reversal of 11704924432416 is 61423442940711.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11704924432417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111397485 + ... + 111502508.

It is an arithmetic number, because the mean of its divisors is an integer number (641283282738).

Almost surely, 211704924432416 is an apocalyptic number.

11704924432416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11704924432416 is an abundant number, since it is smaller than the sum of its proper divisors (19076673139008).

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

11704924432416 is a wasteful number, since it uses less digits than its factorization.

11704924432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222900553 (or 222900545 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 11704924432416 in words is "eleven trillion, seven hundred four billion, nine hundred twenty-four million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 547 1094 1641 2188 3282 4376 6564 8752 13128 17504 26256 52512 222899993 445799986 668699979 891599972 1337399958 1783199944 2674799916 3566399888 5349599832 7132799776 10699199664 21398399328 121926296171 243852592342 365778888513 487705184684 731557777026 975410369368 1463115554052 1950820738736 2926231108104 3901641477472 5852462216208 11704924432416