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21375435727044 = 22327316742716271
BaseRepresentation
bin1001101110000110110110…
…10000001110000011000100
32210200110201212102221110100
410313003123100032003010
510300203343021231134
6113243423431124100
74334216136552540
oct467033320160304
983613655387410
1021375435727044
1168a12a92364a3
122492852213630
13bc0905a24649
1453c810304a20
152710566e2999
hex1370db40e0c4

21375435727044 has 144 divisors (see below), whose sum is σ = 61795072475136. Its totient is φ = 6102936100800.

The previous prime is 21375435727007. The next prime is 21375435727099. The reversal of 21375435727044 is 44072753457312.

21375435727044 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 543 + 57 + 2 + 7 + 0 + 44 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3408613629 + ... + 3408619899.

It is an arithmetic number, because the mean of its divisors is an integer number (429132447744).

Almost surely, 221375435727044 is an apocalyptic number.

It is an amenable number.

21375435727044 is an abundant number, since it is smaller than the sum of its proper divisors (40419636748092).

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

21375435727044 is a wasteful number, since it uses less digits than its factorization.

21375435727044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 21375435727044 in words is "twenty-one trillion, three hundred seventy-five billion, four hundred thirty-five million, seven hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3167 4271 6271 6334 8542 9501 12542 12668 12813 17084 18813 19002 22169 25084 25626 28503 29897 37626 38004 38439 43897 44338 51252 56439 57006 59794 66507 75252 76878 87794 88676 89691 112878 114012 119588 131691 133014 153756 175588 179382 199521 225756 263382 266028 269073 358764 395073 399042 526764 538146 790146 798084 1076292 1580292 13526257 19860257 26783441 27052514 39720514 40578771 53566882 54105028 59580771 79441028 80350323 81157542 94683799 107133764 119161542 121736313 139021799 160700646 162315084 178742313 187484087 189367598 238323084 241050969 243472626 278043598 284051397 321401292 357484626 374968174 378735196 417065397 482101938 486945252 556087196 562452261 568102794 714969252 749936348 834130794 852154191 964203876 1124904522 1136205588 1251196191 1668261588 1687356783 1704308382 2249809044 2502392382 3374713566 3408616764 5004784764 6749427132 84823157647 169646315294 254469472941 339292630588 508938945882 593762103529 763408418823 1017877891764 1187524207058 1526816837646 1781286310587 2375048414116 3053633675292 3562572621174 5343858931761 7125145242348 10687717863522 21375435727044