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60128434521 = 32817372
BaseRepresentation
bin110111111111111011…
…110001100101011001
312202012110020221210100
4313333323301211121
51441120334401041
643342253010013
74226016155241
oct677773614531
9182173227710
1060128434521
1123555a2a8a1
12b7a0a83909
13589324824c
142ca5966b21
15186db726b6
hexdffef1959

60128434521 has 9 divisors (see below), whose sum is σ = 86853245791. Its totient is φ = 40085132592.

The previous prime is 60128434511. The next prime is 60128434543. The reversal of 60128434521 is 12543482106.

It is a happy number.

The square root of 60128434521 is 245211.

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

60128434521 is a `hidden beast` number, since 6 + 0 + 128 + 4 + 3 + 4 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12545120025 + 47583314496 = 112005^2 + 218136^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-60128434521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60128434511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 694765 + ... + 776501.

Almost surely, 260128434521 is an apocalyptic number.

60128434521 is the 245211-st square number.

60128434521 is the 122606-th centered octagonal number.

It is an amenable number.

60128434521 is a deficient number, since it is larger than the sum of its proper divisors (26724811270).

60128434521 is an frugal number, since it uses more digits than its factorization.

60128434521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163480 (or 81740 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 60128434521 by its sum of digits (36), we get a square (2164623642756 = 14712662).

The spelling of 60128434521 in words is "sixty billion, one hundred twenty-eight million, four hundred thirty-four thousand, five hundred twenty-one".

Divisors: 1 3 9 81737 245211 735633 6680937169 20042811507 60128434521