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5258244428525 = 5211210117210521
BaseRepresentation
bin100110010000100011111…
…0010101001001011101101
3200121200110002120100100002
41030201013302221023231
51142122341033203100
615103334254514045
71051616125120514
oct114410762511355
920550402510302
105258244428525
111748010996a00
1270b0bb505925
132c1b09207a1a
141427010cb67b
1591ba42192d5
hex4c847ca92ed

5258244428525 has 36 divisors (see below), whose sum is σ = 7237816185012. Its totient is φ = 3786314400000.

The previous prime is 5258244428501. The next prime is 5258244428531.

5258244428525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 487257049444 + 4770987379081 = 698038^2 + 2184259^2 .

It is not a de Polignac number, because 5258244428525 - 26 = 5258244428461 is a prime.

It is a super-2 number, since 2×52582444285252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8299736 + ... + 8910785.

Almost surely, 25258244428525 is an apocalyptic number.

5258244428525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5258244428525 is a deficient number, since it is larger than the sum of its proper divisors (1979571756487).

5258244428525 is a wasteful number, since it uses less digits than its factorization.

5258244428525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17210654 (or 17210638 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 56.

The spelling of 5258244428525 in words is "five trillion, two hundred fifty-eight billion, two hundred forty-four million, four hundred twenty-eight thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 101 121 275 505 605 1111 2525 3025 5555 12221 27775 61105 305525 17210521 86052605 189315731 430263025 946578655 1738262621 2082473041 4732893275 8691313105 10412365205 19120888831 43456565525 52061826025 95604444155 210329777141 478022220775 1051648885705 5258244428525