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2048553995424 = 25361472174099
BaseRepresentation
bin11101110011110111010…
…101010100110010100000
321020211200020202101012220
4131303313111110302200
5232030414310323144
64205032005351040
7301001035441026
oct35636725246240
97224606671186
102048553995424
1171a872363232
12291034708480
1311b240868991
1471217134716
153844a941919
hex1dcf7554ca0

2048553995424 has 96 divisors (see below), whose sum is σ = 5466840724800. Its totient is φ = 671505715200.

The previous prime is 2048553995353. The next prime is 2048553995459. The reversal of 2048553995424 is 4245993558402.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27609127 + ... + 27683225.

It is an arithmetic number, because the mean of its divisors is an integer number (56946257550).

Almost surely, 22048553995424 is an apocalyptic number.

2048553995424 is a gapful number since it is divisible by the number (24) 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 2048553995424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733420362400).

2048553995424 is an abundant number, since it is smaller than the sum of its proper divisors (3418286729376).

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

2048553995424 is a wasteful number, since it uses less digits than its factorization.

2048553995424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78894 (or 78886 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 2048553995424 in words is "two trillion, forty-eight billion, five hundred fifty-three million, nine hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 4721 5856 9442 14163 18884 28326 37768 56652 74099 75536 113304 148198 151072 222297 226608 287981 296396 444594 453216 575962 592792 863943 889188 1151924 1185584 1727886 1778376 2303848 2371168 3455772 3556752 4520039 4607696 6911544 7113504 9040078 9215392 13560117 13823088 18080156 27120234 27646176 36160312 54240468 72320624 108480936 144641248 216961872 349821379 433923744 699642758 1049464137 1399285516 2098928274 2798571032 4197856548 5597142064 8395713096 11194284128 16791426192 21339104119 33582852384 42678208238 64017312357 85356416476 128034624714 170712832952 256069249428 341425665904 512138498856 682851331808 1024276997712 2048553995424