Search a number
-
+
45260009536 = 26722921312
BaseRepresentation
bin101010001001101101…
…001111000001000000
311022211020200201002111
4222021231033001000
51220143030301121
632443035025104
73161404506400
oct521155170100
9138736621074
1045260009536
1118216106065
12893159b194
134363a49841
142294dd2800
15129d69d2e1
hexa89b4f040

45260009536 has 189 divisors, whose sum is σ = 109035287517. Its totient is φ = 18585315840.

The previous prime is 45260009519. The next prime is 45260009539. The reversal of 45260009536 is 63590006254.

The square root of 45260009536 is 212744.

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

It can be written as a sum of positive squares in only one way, i.e., 23733251136 + 21526758400 = 154056^2 + 146720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45260009539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 345496191 + ... + 345496321.

Almost surely, 245260009536 is an apocalyptic number.

45260009536 is the 212744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45260009536

45260009536 is an abundant number, since it is smaller than the sum of its proper divisors (63775277981).

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

45260009536 is an equidigital number, since it uses as much as digits as its factorization.

45260009536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 45260009536 in words is "forty-five billion, two hundred sixty million, nine thousand, five hundred thirty-six".