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130526167428 = 22325368409941
BaseRepresentation
bin111100110001111110…
…1110100000110000100
3110110220121000022122100
41321203331310012010
54114304144324203
6135543552432100
712300363055116
oct1714375640604
9413817008570
10130526167428
11503a0689548
1221368b48630
13c401bbc2c7
1464633133b6
1535de149ea3
hex1e63f74184

130526167428 has 36 divisors (see below), whose sum is σ = 336166454988. Its totient is φ = 42687802560.

The previous prime is 130526167427. The next prime is 130526167463. The reversal of 130526167428 is 824761625031.

130526167428 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 616 + 7 + 4 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101842680384 + 28683487044 = 319128^2 + 169362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (130526167427) 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 11 ways as a sum of consecutive naturals, for example, 34203063 + ... + 34206878.

It is an arithmetic number, because the mean of its divisors is an integer number (9337957083).

Almost surely, 2130526167428 is an apocalyptic number.

130526167428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130526167428 is an abundant number, since it is smaller than the sum of its proper divisors (205640287560).

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

130526167428 is a wasteful number, since it uses less digits than its factorization.

130526167428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68410004 (or 68409999 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 130526167428 in words is "one hundred thirty billion, five hundred twenty-six million, one hundred sixty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 68409941 136819882 205229823 273639764 410459646 615689469 820919292 1231378938 2462757876 3625726873 7251453746 10877180619 14502907492 21754361238 32631541857 43508722476 65263083714 130526167428