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18441596448 = 25321123143397
BaseRepresentation
bin10001001011001101…
…000110111000100000
31202121020010011110200
4101023031012320200
5300232022041243
612245535225200
71221666661212
oct211315067040
952536104420
1018441596448
117903889400
1236a8078200
13197b877262
14c6d33c5b2
1572e036ad3
hex44b346e20

18441596448 has 432 divisors, whose sum is σ = 61040947968. Its totient is φ = 5269017600.

The previous prime is 18441596317. The next prime is 18441596449. The reversal of 18441596448 is 84469514481.

18441596448 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 1 + 596 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18441596394 and 18441596403.

It is not an unprimeable number, because it can be changed into a prime (18441596449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46452186 + ... + 46452582.

Almost surely, 218441596448 is an apocalyptic number.

18441596448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18441596448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30520473984).

18441596448 is an abundant number, since it is smaller than the sum of its proper divisors (42599351520).

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

18441596448 is a wasteful number, since it uses less digits than its factorization.

18441596448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 487 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 18441596448 in words is "eighteen billion, four hundred forty-one million, five hundred ninety-six thousand, four hundred forty-eight".