Search a number
-
+
5544805148928 = 283323714631061
BaseRepresentation
bin101000010110000000000…
…1001000010100100000000
3201122002010000010020022000
41100230000021002210000
51211321230104231203
615443125345344000
71111412304056043
oct120540011024400
921562100106260
105544805148928
1118485a1a54561
12756754038000
13312b4694c686
141525273d6c5a
1599376b044a3
hex50b00242900

5544805148928 has 576 divisors, whose sum is σ = 17404723445760. Its totient is φ = 1737604915200.

The previous prime is 5544805148923. The next prime is 5544805148959. The reversal of 5544805148928 is 8298415084455.

5544805148928 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 80 + 51 + 489 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5544805148923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5226017518 + ... + 5226018578.

It is an arithmetic number, because the mean of its divisors is an integer number (30216533760).

Almost surely, 25544805148928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5544805148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702361722880).

5544805148928 is an abundant number, since it is smaller than the sum of its proper divisors (11859918296832).

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

5544805148928 is a wasteful number, since it uses less digits than its factorization.

5544805148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 5544805148928 in words is "five trillion, five hundred forty-four billion, eight hundred five million, one hundred forty-eight thousand, nine hundred twenty-eight".