Search a number
-
+
109973868000 = 253539164489
BaseRepresentation
bin110011001101011110…
…1000000110111100000
3101111212021020100000020
41212122331000313200
53300211302234000
6122304333353440
710642153311603
oct1463275006740
9344767210006
10109973868000
1142704421817
1219392038880
13a4a7c7a699
14547394033a
152cd9b84ba0
hex199af40de0

109973868000 has 96 divisors (see below), whose sum is σ = 360274430880. Its totient is φ = 29326361600.

The previous prime is 109973867989. The next prime is 109973868031. The reversal of 109973868000 is 868379901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4570245 + ... + 4594244.

It is an arithmetic number, because the mean of its divisors is an integer number (3752858655).

Almost surely, 2109973868000 is an apocalyptic number.

109973868000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109973868000 is an abundant number, since it is smaller than the sum of its proper divisors (250300562880).

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

109973868000 is an equidigital number, since it uses as much as digits as its factorization.

109973868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164517 (or 9164499 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 109973868000 in words is "one hundred nine billion, nine hundred seventy-three million, eight hundred sixty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 9164489 18328978 27493467 36657956 45822445 54986934 73315912 91644890 109973868 137467335 146631824 183289780 219947736 229112225 274934670 293263648 366579560 439895472 458224450 549869340 687336675 733159120 879790944 916448900 1099738680 1145561125 1374673350 1466318240 1832897800 2199477360 2291122250 2749346700 3436683375 3665795600 4398954720 4582244500 5498693400 6873366750 7331591200 9164489000 10997386800 13746733500 18328978000 21994773600 27493467000 36657956000 54986934000 109973868000