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130177542645 = 3252892834281
BaseRepresentation
bin111100100111100101…
…1111010100111110101
3110110000022000100100100
41321033023322213311
54113100422331040
6135445220304313
712255630566253
oct1711713724765
9413008010310
10130177542645
1150231913597
1221290242099
13c3778c8057
14642ccc35d3
1535bd733b30
hex1e4f2fa9f5

130177542645 has 12 divisors (see below), whose sum is σ = 225641073996. Its totient is φ = 69428022720.

The previous prime is 130177542643. The next prime is 130177542679. The reversal of 130177542645 is 546245771031.

130177542645 is a `hidden beast` number, since 1 + 30 + 1 + 77 + 542 + 6 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98672002641 + 31505540004 = 314121^2 + 177498^2 .

It is not a de Polignac number, because 130177542645 - 21 = 130177542643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2892834281 = 130177542645 / (1 + 3 + 0 + 1 + 7 + 7 + 5 + 4 + 2 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 130177542645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130177542641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446417096 + ... + 1446417185.

It is an arithmetic number, because the mean of its divisors is an integer number (18803422833).

Almost surely, 2130177542645 is an apocalyptic number.

130177542645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130177542645 is a deficient number, since it is larger than the sum of its proper divisors (95463531351).

130177542645 is a wasteful number, since it uses less digits than its factorization.

130177542645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892834292 (or 2892834289 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 130177542645 in words is "one hundred thirty billion, one hundred seventy-seven million, five hundred forty-two thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 2892834281 8678502843 14464171405 26035508529 43392514215 130177542645