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11210486070168 = 23337112431817873
BaseRepresentation
bin1010001100100010010100…
…0010100011101110011000
31110200201020001022220212000
42203020211002203232120
52432133033413221133
635502005354321000
72234634203231430
oct243104502435630
943621201286760
1011210486070168
113632382147900
121310801129160
136341b5049278
142aa83a1872c0
15146925502413
hexa32250a3b98

11210486070168 has 768 divisors, whose sum is σ = 40254306892800. Its totient is φ = 2828025446400.

The previous prime is 11210486070137. The next prime is 11210486070257. The reversal of 11210486070168 is 86107068401211.

11210486070168 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 486 + 0 + 7 + 0 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1423911480 + ... + 1423919352.

It is an arithmetic number, because the mean of its divisors is an integer number (52414462100).

Almost surely, 211210486070168 is an apocalyptic number.

11210486070168 is a gapful number since it is divisible by the number (18) 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 11210486070168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127153446400).

11210486070168 is an abundant number, since it is smaller than the sum of its proper divisors (29043820822632).

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

11210486070168 is a wasteful number, since it uses less digits than its factorization.

11210486070168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11210486070168 in words is "eleven trillion, two hundred ten billion, four hundred eighty-six million, seventy thousand, one hundred sixty-eight".