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5236256526325 = 521124014316693
BaseRepresentation
bin100110000110010100100…
…1101011100111111110101
3200112120200201110011220221
41030030221031130333311
51141242323132320300
615045300353454341
71050210214046416
oct114145115347765
920476621404827
105236256526325
111739758333600
127069a38713b1
132bca13a303c6
14141616bb980d
1591318bca31a
hex4c32935cff5

5236256526325 has 36 divisors (see below), whose sum is σ = 7154687203524. Its totient is φ = 3798688960000.

The previous prime is 5236256526289. The next prime is 5236256526331.

5236256526325 is nontrivially palindromic in base 10.

5236256526325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22733703729 + 5213522822596 = 150777^2 + 2283314^2 .

It is a de Polignac number, because none of the positive numbers 2k-5236256526325 is a prime.

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, 945322 + ... + 3371371.

It is an arithmetic number, because the mean of its divisors is an integer number (198741311209).

Almost surely, 25236256526325 is an apocalyptic number.

5236256526325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5236256526325 is a deficient number, since it is larger than the sum of its proper divisors (1918430677199).

5236256526325 is a wasteful number, since it uses less digits than its factorization.

5236256526325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317126 (or 4317110 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 52.

The spelling of 5236256526325 in words is "five trillion, two hundred thirty-six billion, two hundred fifty-six million, five hundred twenty-six thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 401 605 2005 3025 4411 10025 22055 48521 110275 242605 1213025 4316693 21583465 47483623 107917325 237418115 522319853 1187090575 1730993893 2611599265 8654969465 13057996325 19040932823 43274847325 95204664115 209450261053 476023320575 1047251305265 5236256526325