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21765480044 = 227111932271613
BaseRepresentation
bin10100010001010100…
…101101111001101100
32002011212120221120112
4110101110231321230
5324033430330134
613555433435152
71400240346020
oct242124557154
962155527515
1021765480044
11925a056340
12427526bab8
13208b39c599
1410a6974380
15875c561ce
hex51152de6c

21765480044 has 96 divisors (see below), whose sum is σ = 47974381056. Its totient is φ = 8393748480.

The previous prime is 21765480031. The next prime is 21765480073. The reversal of 21765480044 is 44008456712.

It is a super-2 number, since 2×217654800442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21765479983 and 21765480010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13492982 + ... + 13494594.

It is an arithmetic number, because the mean of its divisors is an integer number (499733136).

Almost surely, 221765480044 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 21765480044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23987190528).

21765480044 is an abundant number, since it is smaller than the sum of its proper divisors (26208901012).

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

21765480044 is a wasteful number, since it uses less digits than its factorization.

21765480044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 21765480044 in words is "twenty-one billion, seven hundred sixty-five million, four hundred eighty thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 193 227 308 386 454 772 908 1351 1589 1613 2123 2497 2702 3178 3226 4246 4994 5404 6356 6452 8492 9988 11291 14861 17479 17743 22582 29722 34958 35486 43811 45164 59444 69916 70972 87622 124201 175244 248402 306677 311309 366151 481921 496804 613354 622618 732302 963842 1226708 1245236 1464604 1927684 2179163 2563057 3373447 3424399 4027661 4358326 5126114 6746894 6848798 8055322 8716652 10252228 13493788 13697596 16110644 23970793 28193627 47941586 56387254 70667143 95883172 112774508 141334286 282668572 494670001 777338573 989340002 1554677146 1978680004 3109354292 5441370011 10882740022 21765480044