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21270752118 = 2347211477173
BaseRepresentation
bin10011110011110101…
…011110101101110110
32000220101200011110000
4103303311132231312
5322030303031433
613434402012130
71352052260400
oct236365365566
960811604400
1021270752118
11902586a990
124157647046
13200ca42075
14105ad91b70
158475d0113
hex4f3d5eb76

21270752118 has 480 divisors, whose sum is σ = 63499189248. Its totient is φ = 5258131200.

The previous prime is 21270752101. The next prime is 21270752123. The reversal of 21270752118 is 81125707212.

21270752118 is a `hidden beast` number, since 2 + 127 + 0 + 7 + 521 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 291380130 + ... + 291380202.

Almost surely, 221270752118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21270752118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31749594624).

21270752118 is an abundant number, since it is smaller than the sum of its proper divisors (42228437130).

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

21270752118 is a wasteful number, since it uses less digits than its factorization.

21270752118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 21270752118 in words is "twenty-one billion, two hundred seventy million, seven hundred fifty-two thousand, one hundred eighteen".