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5418215712 = 253571321931
BaseRepresentation
bin1010000101111001…
…10110100100100000
3111222121022212200000
411002330312210200
542044030400322
62253351100000
7251161034160
oct50274664440
914877285600
105418215712
112330494728
121072671600
136846aa400
143958485a0
1521aa173ac
hex142f36920

5418215712 has 864 divisors, whose sum is σ = 21486366720. Its totient is φ = 1310100480.

The previous prime is 5418215683. The next prime is 5418215713. The reversal of 5418215712 is 2175128145.

It is a happy number.

5418215712 is a `hidden beast` number, since 5 + 4 + 1 + 82 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (5418215713) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174781137 + ... + 174781167.

It is an arithmetic number, because the mean of its divisors is an integer number (24868480).

Almost surely, 25418215712 is an apocalyptic number.

5418215712 is a gapful number since it is divisible by the number (52) 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 5418215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743183360).

5418215712 is an abundant number, since it is smaller than the sum of its proper divisors (16068151008).

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

5418215712 is a wasteful number, since it uses less digits than its factorization.

5418215712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5418215712 is about 73608.5301578560. The cubic root of 5418215712 is about 1756.3811350232.

The spelling of 5418215712 in words is "five billion, four hundred eighteen million, two hundred fifteen thousand, seven hundred twelve".