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134254822464 = 2634727272
BaseRepresentation
bin111110100001000110…
…1100000010001000000
3110211112110010121210000
41331002031200101000
54144423213304324
6141401550440000
712461650106400
oct1750215402100
9424473117700
10134254822464
1151a34390234
1222029803000
13c877536969
1466d85d2800
15375b6719c9
hex1f42360440

134254822464 has 315 divisors, whose sum is σ = 463586262183. Its totient is φ = 38305757952.

The previous prime is 134254822433. The next prime is 134254822487. The reversal of 134254822464 is 464228452431.

The square root of 134254822464 is 366408.

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

134254822464 is a `hidden beast` number, since 1 + 3 + 42 + 548 + 2 + 2 + 4 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 184669269 + ... + 184669995.

Almost surely, 2134254822464 is an apocalyptic number.

134254822464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134254822464 is the 366408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134254822464

134254822464 is an abundant number, since it is smaller than the sum of its proper divisors (329331439719).

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

134254822464 is an frugal number, since it uses more digits than its factorization.

134254822464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 739 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 134254822464 in words is "one hundred thirty-four billion, two hundred fifty-four million, eight hundred twenty-two thousand, four hundred sixty-four".