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48506131325 = 525338994109
BaseRepresentation
bin101101001011001100…
…001101001101111101
311122012110211210001102
4231023030031031331
51243320032200300
634141114422445
73335012212331
oct551314151575
9148173753042
1048506131325
11196314a0443
129498731a25
134760416472
1424c21857c1
1513dd65c0d5
hexb4b30d37d

48506131325 has 24 divisors (see below), whose sum is σ = 61440654600. Its totient is φ = 37974460160.

The previous prime is 48506131319. The next prime is 48506131357. The reversal of 48506131325 is 52313160584.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29273156836 + 19232974489 = 171094^2 + 138683^2 .

It is not a de Polignac number, because 48506131325 - 220 = 48505082749 is a prime.

It is a super-2 number, since 2×485061313252 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468371 + ... + 562479.

It is an arithmetic number, because the mean of its divisors is an integer number (2560027275).

Almost surely, 248506131325 is an apocalyptic number.

It is an amenable number.

48506131325 is a deficient number, since it is larger than the sum of its proper divisors (12934523275).

48506131325 is a wasteful number, since it uses less digits than its factorization.

48506131325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94561 (or 94556 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 48506131325 in words is "forty-eight billion, five hundred six million, one hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 5 25 53 265 389 1325 1945 9725 20617 94109 103085 470545 515425 2352725 4987777 24938885 36608401 124694425 183042005 915210025 1940245253 9701226265 48506131325