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55769728968 = 2332774579569
BaseRepresentation
bin110011111100001000…
…101000011111001000
312022221200120202211100
4303330020220133020
51403204022311333
641341550501400
74013011606002
oct637410503710
9168850522740
1055769728968
11217196158a8
12a985204860
13534a213035
1429b0b1b372
1516b6194213
hexcfc2287c8

55769728968 has 24 divisors (see below), whose sum is σ = 151043016150. Its totient is φ = 18589909632.

The previous prime is 55769728939. The next prime is 55769728997. The reversal of 55769728968 is 86982796755.

55769728968 is a `hidden beast` number, since 557 + 6 + 9 + 7 + 2 + 8 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (55769728939) and next prime (55769728997).

It can be written as a sum of positive squares in only one way, i.e., 48400880004 + 7368848964 = 220002^2 + 85842^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×557697289682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 774579569 = 55769728968 / (5 + 5 + 7 + 6 + 9 + 7 + 2 + 8 + 9 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 55769728896 and 55769728905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 387289713 + ... + 387289856.

Almost surely, 255769728968 is an apocalyptic number.

It is an amenable number.

55769728968 is an abundant number, since it is smaller than the sum of its proper divisors (95273287182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55769728968 is a wasteful number, since it uses less digits than its factorization.

55769728968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774579581 (or 774579574 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 55769728968 in words is "fifty-five billion, seven hundred sixty-nine million, seven hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 774579569 1549159138 2323738707 3098318276 4647477414 6196636552 6971216121 9294954828 13942432242 18589909656 27884864484 55769728968