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21738609045 = 32523731491931
BaseRepresentation
bin10100001111101110…
…001101100110010101
32002010000000202111100
4110033232031212111
5324010040442140
613553033500313
71366463061636
oct241756154625
962100022440
1021738609045
1192459727aa
124268271699
13208595189a
1410a317b88d
158736e9530
hex50fb8d995

21738609045 has 96 divisors (see below), whose sum is σ = 40145414400. Its totient is φ = 10858890240.

The previous prime is 21738609029. The next prime is 21738609089. The reversal of 21738609045 is 54090683712.

21738609045 is a `hidden beast` number, since 2 + 1 + 7 + 38 + 609 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 21738609045 - 24 = 21738609029 is a prime.

It is a super-2 number, since 2×217386090452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 11256730 + ... + 11258660.

It is an arithmetic number, because the mean of its divisors is an integer number (418181400).

It is a 1-persistent number, because it is pandigital, but 2⋅21738609045 = 43477218090 is not.

Almost surely, 221738609045 is an apocalyptic number.

It is an amenable number.

21738609045 is a deficient number, since it is larger than the sum of its proper divisors (18406805355).

21738609045 is a wasteful number, since it uses less digits than its factorization.

21738609045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21738609045 in words is "twenty-one billion, seven hundred thirty-eight million, six hundred nine thousand, forty-five".

Divisors: 1 3 5 9 15 23 45 69 73 115 149 207 219 345 365 447 657 745 1035 1095 1341 1679 1931 2235 3285 3427 5037 5793 6705 8395 9655 10281 10877 15111 17135 17379 25185 28965 30843 32631 44413 51405 54385 75555 86895 97893 133239 140963 154215 163155 222065 250171 287719 399717 422889 489465 666195 704815 750513 863157 1250855 1268667 1438595 1998585 2114445 2251539 2589471 3242149 3752565 4315785 6343335 6617537 9726447 11257695 12947355 16210745 19852611 21003487 29179341 33087685 48632235 59557833 63010461 99263055 105017435 145896705 189031383 297789165 315052305 483080201 945156915 1449240603 2415401005 4347721809 7246203015 21738609045