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55755960129 = 3231225392
BaseRepresentation
bin110011111011010100…
…000110111101000001
312022220201200020112100
4303323110012331001
51403142011211004
641340335421013
74012453561422
oct637324067501
9168821606470
1055755960129
11217118710a1
12a980684769
135347401bac
1429acd75649
1516b4d74739
hexcfb506f41

55755960129 has 27 divisors (see below), whose sum is σ = 83250928449. Its totient is φ = 35957419560.

The previous prime is 55755960097. The next prime is 55755960149. The reversal of 55755960129 is 92106955755.

The square root of 55755960129 is 236127.

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

55755960129 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 5 + 9 + 601 + 29 = 666.

It is not a de Polignac number, because 55755960129 - 25 = 55755960097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55755960149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21958542 + ... + 21961080.

Almost surely, 255755960129 is an apocalyptic number.

55755960129 is the 236127-th square number.

55755960129 is the 118064-th centered octagonal number.

It is an amenable number.

55755960129 is a deficient number, since it is larger than the sum of its proper divisors (27494968320).

55755960129 is an frugal number, since it uses more digits than its factorization.

55755960129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

It can be divided in two parts, 55755960 and 129, that added together give a square (55756089 = 74672).

The spelling of 55755960129 in words is "fifty-five billion, seven hundred fifty-five million, nine hundred sixty thousand, one hundred twenty-nine".

Divisors: 1 3 9 31 93 279 961 2539 2883 7617 8649 22851 78709 236127 708381 2439979 6446521 7319937 19339563 21959811 58018689 199842151 599526453 1798579359 6195106681 18585320043 55755960129