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21127630104 = 23327283314797
BaseRepresentation
bin10011101011010011…
…100000110100011000
32000112102100210221200
4103223103200310120
5321232133130404
613412250234200
71345363615140
oct235323406430
960472323850
1021127630104
118a61aa6229
124117725960
131cb91b0999
141045d77920
15839c5d839
hex4eb4e0d18

21127630104 has 96 divisors (see below), whose sum is σ = 65422549920. Its totient is φ = 6033927168.

The previous prime is 21127630093. The next prime is 21127630129. The reversal of 21127630104 is 40103672112.

21127630104 is a `hidden beast` number, since 2 + 1 + 1 + 27 + 630 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×211276301042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420434 + ... + 1435230.

It is an arithmetic number, because the mean of its divisors is an integer number (681484895).

Almost surely, 221127630104 is an apocalyptic number.

21127630104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21127630104 is an abundant number, since it is smaller than the sum of its proper divisors (44294919816).

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

21127630104 is a wasteful number, since it uses less digits than its factorization.

21127630104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17649 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21127630104 in words is "twenty-one billion, one hundred twenty-seven million, six hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2833 5666 8499 11332 14797 16998 19831 22664 25497 29594 33996 39662 44391 50994 59188 59493 67992 79324 88782 101988 103579 118376 118986 133173 158648 177564 178479 203976 207158 237972 266346 310737 355128 356958 414316 475944 532692 621474 713916 828632 932211 1065384 1242948 1427832 1864422 2485896 3728844 7457688 41919901 83839802 125759703 167679604 251519406 293439307 335359208 377279109 503038812 586878614 754558218 880317921 1006077624 1173757228 1509116436 1760635842 2347514456 2640953763 3018232872 3521271684 5281907526 7042543368 10563815052 21127630104