Search a number
-
+
5259373148295 = 345771971671613
BaseRepresentation
bin100110010001000101100…
…0100010111100010000111
3200121210100202110020210000
41030202023010113202013
51142132144011221140
615104042255132343
71051656112100640
oct114421304274207
920553322406700
105259373148295
111748540037862
1270b3755140b3
132c1c59002a46
141427aad846c7
1591c1d374a30
hex4c88b117887

5259373148295 has 320 divisors, whose sum is σ = 11112147357696. Its totient is φ = 2330490839040.

The previous prime is 5259373148291. The next prime is 5259373148299. The reversal of 5259373148295 is 5928413739525.

5259373148295 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 37 + 31 + 482 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (5259373148291) and next prime (5259373148299).

It is not a de Polignac number, because 5259373148295 - 22 = 5259373148291 is a prime.

It is a super-2 number, since 2×52593731482952 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259373148291) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3260614909 + ... + 3260616521.

Almost surely, 25259373148295 is an apocalyptic number.

5259373148295 is an abundant number, since it is smaller than the sum of its proper divisors (5852774209401).

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

5259373148295 is a wasteful number, since it uses less digits than its factorization.

5259373148295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 5259373148295 in words is "five trillion, two hundred fifty-nine billion, three hundred seventy-three million, one hundred forty-eight thousand, two hundred ninety-five".