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60538142025 = 32524723492
BaseRepresentation
bin111000011000010110…
…101011110101001001
312210021000012020211100
4320120112223311021
51442440231021100
643451050252013
74242122500614
oct703026536511
9183230166740
1060538142025
1123746226139
12b896127009
13592a0a821a
142d0413717b
151894b02400
hexe185abd49

60538142025 has 81 divisors (see below), whose sum is σ = 111105007221. Its totient is φ = 31509506880.

The previous prime is 60538142023. The next prime is 60538142033. The reversal of 60538142025 is 52024183506.

The square root of 60538142025 is 246045.

It is a perfect power (a square), and thus also a powerful number.

60538142025 is a `hidden beast` number, since 60 + 538 + 1 + 42 + 0 + 25 = 666.

60538142025 is digitally balanced in base 2, 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 4 ways, for example, as 622851849 + 59915290176 = 24957^2 + 244776^2 .

It is not a de Polignac number, because 60538142025 - 21 = 60538142023 is a prime.

It is a super-2 number, since 2×605381420252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60538142023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 173461551 + ... + 173461899.

Almost surely, 260538142025 is an apocalyptic number.

60538142025 is the 246045-th square number.

60538142025 is the 123023-rd centered octagonal number.

It is an amenable number.

60538142025 is a deficient number, since it is larger than the sum of its proper divisors (50566865196).

60538142025 is an equidigital number, since it uses as much as digits as its factorization.

60538142025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 60538142025 by its sum of digits (36), we get a square (2179373112900 = 14762702).

The spelling of 60538142025 in words is "sixty billion, five hundred thirty-eight million, one hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 349 423 705 1047 1175 1745 2115 2209 3141 3525 5235 6627 8725 10575 11045 15705 16403 19881 26175 33135 49209 55225 78525 82015 99405 121801 147627 165675 246045 365403 410075 497025 609005 738135 770941 1096209 1230225 1827015 2312823 3045025 3690675 3854705 5481045 5724647 6938469 9135075 11564115 17173941 19273525 27405225 28623235 34692345 51521823 57820575 85869705 143116175 173461725 257609115 269058409 429348525 807175227 1288045575 1345292045 2421525681 4035876135 6726460225 12107628405 20179380675 60538142025