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5418010944 = 263473103139
BaseRepresentation
bin1010000101111000…
…00100100101000000
3111222120221110210000
411002330010211000
542044002322234
62253342440000
7251156222163
oct50274044500
914876843700
105418010944
1123303648a5
121072593000
13684638148
143957d3ada
1521a9c6899
hex142f04940

5418010944 has 280 divisors, whose sum is σ = 16557020480. Its totient is φ = 1751279616.

The previous prime is 5418010919. The next prime is 5418010967. The reversal of 5418010944 is 4490108145.

5418010944 is a `hidden beast` number, since 541 + 8 + 0 + 109 + 4 + 4 = 666.

It is a super-2 number, since 2×54180109442 = 58709685178607542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5418010899 and 5418010908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38978427 + ... + 38978565.

It is an arithmetic number, because the mean of its divisors is an integer number (59132216).

Almost surely, 25418010944 is an apocalyptic number.

5418010944 is a gapful number since it is divisible by the number (54) 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 5418010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278510240).

5418010944 is an abundant number, since it is smaller than the sum of its proper divisors (11139009536).

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

5418010944 is a wasteful number, since it uses less digits than its factorization.

5418010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5418010944 is about 73607.1392189644. The cubic root of 5418010944 is about 1756.3590087241.

The spelling of 5418010944 in words is "five billion, four hundred eighteen million, ten thousand, nine hundred forty-four".