Search a number
-
+
7135753004325 = 32521121729599011
BaseRepresentation
bin110011111010110110000…
…0001011110010100100101
3221021011121220012010022100
41213311230001132110211
51413403010232114300
623102041503322313
71334353416523011
oct147655401362445
927234556163270
107135753004325
11230128a5a6800
12972b592b0399
133c9b8b368b1a
141a952d7b7541
15c593d65b700
hex67d6c05e525

7135753004325 has 432 divisors, whose sum is σ = 15650307691200. Its totient is φ = 3090329088000.

The previous prime is 7135753004293. The next prime is 7135753004333. The reversal of 7135753004325 is 5234003575317.

7135753004325 is a `hidden beast` number, since 7 + 1 + 3 + 57 + 530 + 0 + 43 + 25 = 666.

7135753004325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7135753004325 - 25 = 7135753004293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 791889070 + ... + 791898080.

It is an arithmetic number, because the mean of its divisors is an integer number (36227564100).

Almost surely, 27135753004325 is an apocalyptic number.

7135753004325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7135753004325 is an abundant number, since it is smaller than the sum of its proper divisors (8514554686875).

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

7135753004325 is a wasteful number, since it uses less digits than its factorization.

7135753004325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 7135753004325 in words is "seven trillion, one hundred thirty-five billion, seven hundred fifty-three million, four thousand, three hundred twenty-five".