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21045319542 = 2321327619091
BaseRepresentation
bin10011100110011001…
…100001011101110110
32000022200111000002100
4103212121201131312
5321100100211132
613400150122530
71343344156512
oct234631413566
960280430070
1021045319542
118a1a597075
1240b4050446
131ca5121a00
14103906d142
1583290037c
hex4e6661776

21045319542 has 72 divisors (see below), whose sum is σ = 49445878248. Its totient is φ = 6466262400.

The previous prime is 21045319531. The next prime is 21045319597. The reversal of 21045319542 is 24591354012.

21045319542 is a `hidden beast` number, since 2 + 10 + 453 + 195 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21045319497 and 21045319506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2310417 + ... + 2319507.

It is an arithmetic number, because the mean of its divisors is an integer number (686748309).

Almost surely, 221045319542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21045319542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722939124).

21045319542 is an abundant number, since it is smaller than the sum of its proper divisors (28400558706).

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

21045319542 is a wasteful number, since it uses less digits than its factorization.

21045319542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21045319542 in words is "twenty-one billion, forty-five million, three hundred nineteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 761 1014 1521 1522 2283 3042 4566 6849 9091 9893 13698 18182 19786 27273 29679 54546 59358 81819 89037 118183 128609 163638 178074 236366 257218 354549 385827 709098 771654 1063647 1157481 1536379 2127294 2314962 3072758 4609137 6918251 9218274 13827411 13836502 20754753 27654822 41509506 62264259 89937263 124528518 179874526 269811789 539623578 809435367 1169184419 1618870734 2338368838 3507553257 7015106514 10522659771 21045319542