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21044744532 = 22327416133391
BaseRepresentation
bin10011100110010111…
…010101000101010100
32000022122101210022200
4103212113111011110
5321044423311112
613400125524500
71343336243220
oct234627250524
960278353280
1021044744532
118a1a234059
1240b3a13730
131ca4c80076
141038d5d780
15832839cdc
hex4e65d5154

21044744532 has 144 divisors (see below), whose sum is σ = 63301615104. Its totient is φ = 5769792000.

The previous prime is 21044744521. The next prime is 21044744543. The reversal of 21044744532 is 23544744012.

21044744532 is a `hidden beast` number, since 2 + 10 + 44 + 74 + 4 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (21044744521) and next prime (21044744543).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 613557 + ... + 646947.

Almost surely, 221044744532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21044744532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650807552).

21044744532 is an abundant number, since it is smaller than the sum of its proper divisors (42256870572).

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

21044744532 is a wasteful number, since it uses less digits than its factorization.

21044744532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33510 (or 33505 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 21044744532 in words is "twenty-one billion, forty-four million, seven hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 61 63 82 84 122 123 126 164 183 244 246 252 287 366 369 427 492 549 574 732 738 854 861 1098 1148 1281 1476 1708 1722 2196 2501 2562 2583 3444 3843 5002 5124 5166 7503 7686 10004 10332 15006 15372 17507 22509 30012 33391 35014 45018 52521 66782 70028 90036 100173 105042 133564 157563 200346 210084 233737 300519 315126 400692 467474 601038 630252 701211 934948 1202076 1369031 1402422 2036851 2103633 2738062 2804844 4073702 4107093 4207266 5476124 6110553 8147404 8214186 8414532 9583217 12221106 12321279 14257957 16428372 18331659 19166434 24442212 24642558 28515914 28749651 36663318 38332868 42773871 49285116 57031828 57499302 73326636 83510891 85547742 86248953 114998604 128321613 167021782 171095484 172497906 250532673 256643226 334043564 344995812 501065346 513286452 584576237 751598019 1002130692 1169152474 1503196038 1753728711 2338304948 3006392076 3507457422 5261186133 7014914844 10522372266 21044744532