Search a number
-
+
19721079072 = 25352536147
BaseRepresentation
bin10010010111011101…
…111100100100100000
31212220101200121200000
4102113131330210200
5310342044012242
613020523100000
71265464256232
oct222735744440
955811617600
1019721079072
118400042662
1239a4671600
131b2397a476
14d5123c252
157a6522a4c
hex49777c920

19721079072 has 72 divisors (see below), whose sum is σ = 58158945936. Its totient is φ = 6573690432.

The previous prime is 19721079031. The next prime is 19721079073. The reversal of 19721079072 is 27097012791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (19721079073) 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 11 ways as a sum of consecutive naturals, for example, 1260298 + ... + 1275849.

It is an arithmetic number, because the mean of its divisors is an integer number (807763138).

Almost surely, 219721079072 is an apocalyptic number.

19721079072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19721079072 is an abundant number, since it is smaller than the sum of its proper divisors (38437866864).

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

19721079072 is an equidigital number, since it uses as much as digits as its factorization.

19721079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536172 (or 2536152 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 19721079072 in words is "nineteen billion, seven hundred twenty-one million, seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 2536147 5072294 7608441 10144588 15216882 20289176 22825323 30433764 40578352 45650646 60867528 68475969 81156704 91301292 121735056 136951938 182602584 205427907 243470112 273903876 365205168 410855814 547807752 616283721 730410336 821711628 1095615504 1232567442 1643423256 2191231008 2465134884 3286846512 4930269768 6573693024 9860539536 19721079072