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18319820448 = 253434437941
BaseRepresentation
bin10001000011111100…
…100100011010100000
31202021201222022012110
4101003330210122200
5300004333223243
612225505155320
71215660622146
oct210374443240
952251868173
1018319820448
117851074286
12367332bb40
13195c57ab57
14c5b0bd596
157234cee33
hex443f246a0

18319820448 has 48 divisors (see below), whose sum is σ = 49207900896. Its totient is φ = 5964591360.

The previous prime is 18319820447. The next prime is 18319820509. The reversal of 18319820448 is 84402891381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18319820397 and 18319820406.

It is not an unprimeable number, because it can be changed into a prime (18319820447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2214843 + ... + 2223098.

It is an arithmetic number, because the mean of its divisors is an integer number (1025164602).

Almost surely, 218319820448 is an apocalyptic number.

It is an amenable number.

18319820448 is an abundant number, since it is smaller than the sum of its proper divisors (30888080448).

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

18319820448 is a wasteful number, since it uses less digits than its factorization.

18319820448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437997 (or 4437989 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 18319820448 in words is "eighteen billion, three hundred nineteen million, eight hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 4437941 8875882 13313823 17751764 26627646 35503528 53255292 71007056 106510584 142014112 190831463 213021168 381662926 426042336 572494389 763325852 1144988778 1526651704 2289977556 3053303408 4579955112 6106606816 9159910224 18319820448