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18448158976 = 281326532
BaseRepresentation
bin10001001011100110…
…001001000100000000
31202121200110120120021
4101023212021010000
5300240212041401
612250332023224
71222106523022
oct211346110400
952550416507
1018448158976
117907560985
1236aa301b14
131980034300
14c7016a012
1572e8d12a1
hex44b989100

18448158976 has 81 divisors (see below), whose sum is σ = 39935942319. Its totient is φ = 8501495808.

The previous prime is 18448158947. The next prime is 18448158997. The reversal of 18448158976 is 67985184481.

The square root of 18448158976 is 135824.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7161221376 + 11286937600 = 84624^2 + 106240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28251066 + ... + 28251718.

Almost surely, 218448158976 is an apocalyptic number.

18448158976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18448158976 is the 135824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18448158976

18448158976 is an abundant number, since it is smaller than the sum of its proper divisors (21487783343).

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

18448158976 is an frugal number, since it uses more digits than its factorization.

18448158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 668 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 61.

The spelling of 18448158976 in words is "eighteen billion, four hundred forty-eight million, one hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 653 676 832 1306 1352 1664 2612 2704 3328 5224 5408 8489 10448 10816 16978 20896 21632 33956 41792 43264 67912 83584 110357 135824 167168 220714 271648 426409 441428 543296 852818 882856 1086592 1705636 1765712 2173184 3411272 3531424 5543317 6822544 7062848 11086634 13645088 14125696 22173268 27290176 28251392 44346536 54580352 72063121 88693072 109160704 144126242 177386144 288252484 354772288 576504968 709544576 1153009936 1419089152 2306019872 4612039744 9224079488 18448158976