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21114801774 = 23211219350231
BaseRepresentation
bin10011101010100010…
…100100111001101110
32000111112020001210100
4103222202210321232
5321220342124044
613411111251530
71345146565563
oct235242447156
960445201710
1021114801774
118a55834100
124113379ba6
131cb663b961
14104439886a
15838a77869
hex4ea8a4e6e

21114801774 has 72 divisors (see below), whose sum is σ = 50547356496. Its totient is φ = 6365145600.

The previous prime is 21114801767. The next prime is 21114801779. The reversal of 21114801774 is 47710841112.

21114801774 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 480 + 177 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114801779) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395239 + ... + 445469.

It is an arithmetic number, because the mean of its divisors is an integer number (702046618).

Almost surely, 221114801774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114801774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273678248).

21114801774 is an abundant number, since it is smaller than the sum of its proper divisors (29432554722).

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

21114801774 is a wasteful number, since it uses less digits than its factorization.

21114801774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50454 (or 50440 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 21114801774 in words is "twenty-one billion, one hundred fourteen million, eight hundred one thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 193 198 242 363 386 579 726 1089 1158 1737 2123 2178 3474 4246 6369 12738 19107 23353 38214 46706 50231 70059 100462 140118 150693 210177 301386 420354 452079 552541 904158 1105082 1657623 3315246 4972869 6077951 9694583 9945738 12155902 18233853 19389166 29083749 36467706 54701559 58167498 87251247 106640413 109403118 174502494 213280826 319921239 639842478 959763717 1173044543 1919527434 2346089086 3519133629 7038267258 10557400887 21114801774