Search a number
-
+
5498006976 = 263372115903
BaseRepresentation
bin1010001111011010…
…01110110111000000
3112012011110200201000
411013231032313000
542224442210401
62305321212000
7253150200600
oct50755166700
915164420630
105498006976
112371533020
121095331000
13698096787
143a2298c00
15222a29186
hex147b4edc0

5498006976 has 336 divisors, whose sum is σ = 20514746880. Its totient is φ = 1427811840.

The previous prime is 5498006957. The next prime is 5498007023. The reversal of 5498006976 is 6796008945.

5498006976 is a `hidden beast` number, since 549 + 8 + 0 + 0 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928441 + ... + 934343.

Almost surely, 25498006976 is an apocalyptic number.

5498006976 is a gapful number since it is divisible by the number (56) 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 5498006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257373440).

5498006976 is an abundant number, since it is smaller than the sum of its proper divisors (15016739904).

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

5498006976 is a wasteful number, since it uses less digits than its factorization.

5498006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5498006976 is about 74148.5466883876. The cubic root of 5498006976 is about 1764.9609276929.

The spelling of 5498006976 in words is "five billion, four hundred ninety-eight million, six thousand, nine hundred seventy-six".