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132220315645625 = 54617347507861
BaseRepresentation
bin11110000100000011110000…
…111100100011011010111001
3122100011010202010121112212202
4132010003300330203122321
5114312244201301130000
61145113101403515545
736564413452252214
oct3604036074433271
9570133663545782
10132220315645625
1139147359229489
12129b5224228bb5
1358a142602b5bc
1424916d6cdc77b
151044549315dd5
hex7840f0f236b9

132220315645625 has 40 divisors (see below), whose sum is σ = 170231501338536. Its totient is φ = 102616977600000.

The previous prime is 132220315645619. The next prime is 132220315645637. The reversal of 132220315645625 is 526546513022231.

It can be written as a sum of positive squares in 20 ways, for example, as 111932570072761 + 20287745572864 = 10579819^2 + 4504192^2 .

It is a de Polignac number, because none of the positive numbers 2k-132220315645625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132220315645625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20970806 + ... + 26537055.

Almost surely, 2132220315645625 is an apocalyptic number.

It is an amenable number.

132220315645625 is a deficient number, since it is larger than the sum of its proper divisors (38011185692911).

132220315645625 is an frugal number, since it uses more digits than its factorization.

132220315645625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47508015 (or 47508000 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 47.

Adding to 132220315645625 its reverse (526546513022231), we get a palindrome (658766828667856).

The spelling of 132220315645625 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred fifteen million, six hundred forty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 61 73 125 305 365 625 1525 1825 4453 7625 9125 22265 38125 45625 111325 556625 2783125 47507861 237539305 1187696525 2897979521 3468073853 5938482625 14489897605 17340369265 29692413125 72449488025 86701846325 211552505033 362247440125 433509231625 1057762525165 1811237200625 2167546158125 5288812625825 26444063129125 132220315645625