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21748745238025 = 5213455192
BaseRepresentation
bin1001111000111110001100…
…01110111111011000001001
32212000011022110010222122211
410330133012032333120021
510322312412240104100
6114131122521345121
74403203116212011
oct474370616773011
985004273128584
1021748745238025
116a25655775403
1225330769381a1
13c19b89830000
145529057d2c41
1527ab04ce31ba
hex13c7c63bf609

21748745238025 has 45 divisors (see below), whose sum is σ = 29221030373651. Its totient is φ = 16057701809760.

The previous prime is 21748745237977. The next prime is 21748745238079. The reversal of 21748745238025 is 52083254784712.

The square root of 21748745238025 is 4663555.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 21338884076409 + 409861161616 = 4619403^2 + 640204^2 .

It is a de Polignac number, because none of the positive numbers 2k-21748745238025 is a prime.

It is a super-2 number, since 2×217487452380252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3940701216 + ... + 3940706734.

Almost surely, 221748745238025 is an apocalyptic number.

21748745238025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21748745238025 is the 4663555-th square number.

21748745238025 is the 2331778-th centered octagonal number.

It is an amenable number.

21748745238025 is a deficient number, since it is larger than the sum of its proper divisors (7472285135626).

21748745238025 is an frugal number, since it uses more digits than its factorization.

21748745238025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 58.

The spelling of 21748745238025 in words is "twenty-one trillion, seven hundred forty-eight billion, seven hundred forty-five million, two hundred thirty-eight thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2197 4225 5519 10985 27595 28561 54925 71747 137975 142805 358735 714025 932711 1793675 4663555 12125243 23317775 30459361 60626215 152296805 157628159 303131075 395971693 761484025 788140795 1979858465 3940703975 5147632009 9899292325 25738160045 66919216117 128690800225 334596080585 869949809521 1672980402925 4349749047605 21748745238025