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23381877818332 = 22112923120383043
BaseRepresentation
bin1010101000100000001001…
…00001011000001111011100
310001210021201021012221100001
411110100010201120033130
511031042041210141312
6121421253020344044
74632166505126065
oct524200441301734
9101707637187301
1023381877818332
1174a5220511870
1227576936a5024
131007b94b12747
145ab9905a356c
152a833a033057
hex1544048583dc

23381877818332 has 72 divisors (see below), whose sum is σ = 47721760998912. Its totient is φ = 9930618062400.

The previous prime is 23381877818329. The next prime is 23381877818359.

23381877818332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233818778183322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9044398 + ... + 11338645.

It is an arithmetic number, because the mean of its divisors is an integer number (662802236096).

Almost surely, 223381877818332 is an apocalyptic number.

23381877818332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23381877818332 is an abundant number, since it is smaller than the sum of its proper divisors (24339883180580).

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

23381877818332 is a wasteful number, since it uses less digits than its factorization.

23381877818332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20383147 (or 20383116 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 64.

The spelling of 23381877818332 in words is "twenty-three trillion, three hundred eighty-one billion, eight hundred seventy-seven million, eight hundred eighteen thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 29 31 44 58 62 116 124 319 341 638 682 841 899 1276 1364 1682 1798 3364 3596 9251 9889 18502 19778 26071 37004 39556 52142 104284 286781 573562 1147124 20383043 40766086 81532172 224213473 448426946 591108247 631874333 896853892 1182216494 1263748666 2364432988 2527497332 6502190717 6950617663 13004381434 13901235326 17142139163 18324355657 26008762868 27802470652 34284278326 36648711314 68568556652 73297422628 188563530793 201567912227 377127061586 403135824454 531406314053 754254123172 806271648908 1062812628106 2125625256212 5845469454583 11690938909166 23381877818332