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42047123363172 = 223216364175714767
BaseRepresentation
bin10011000111101110110111…
…10110100001010101100100
312111212122222022200202000200
421203313123312201111210
521002400002040110142
6225232103134310500
711566542625401204
oct1143673366412544
9174778868622020
1042047123363172
11124410a2a770a4
124871020658430
131a6004691ac85
14a5513d606404
154cdb1ec6764c
hex263ddbda1564

42047123363172 has 144 divisors (see below), whose sum is σ = 107253422045952. Its totient is φ = 13888677519360.

The previous prime is 42047123363153. The next prime is 42047123363173. The reversal of 42047123363172 is 27136332174024.

42047123363172 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 7 + 1 + 2 + 3 + 3 + 631 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42047123363173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847363333 + ... + 2847378099.

Almost surely, 242047123363172 is an apocalyptic number.

It is an amenable number.

42047123363172 is an abundant number, since it is smaller than the sum of its proper divisors (65206298682780).

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

42047123363172 is a wasteful number, since it uses less digits than its factorization.

42047123363172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16338 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 42047123363172 in words is "forty-two trillion, forty-seven billion, one hundred twenty-three million, three hundred sixty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 641 652 757 978 1282 1467 1514 1923 1956 2271 2564 2934 3028 3846 4542 5769 5868 6813 7692 9084 11538 13626 14767 23076 27252 29534 44301 59068 88602 104483 123391 132903 177204 208966 246782 265806 313449 370173 417932 485237 493564 531612 626898 740346 940347 970474 1110519 1253796 1455711 1480692 1880694 1940948 2221038 2407021 2911422 3761388 4367133 4442076 4814042 5822844 7221063 8734266 9465647 9628084 11178619 14442126 17468532 18931294 21663189 22357238 28396941 28884252 33535857 37862588 43326378 44714476 56793882 67071714 79093631 85190823 86652756 100607571 113587764 134143428 158187262 170381646 201215142 237280893 316374524 340763292 402430284 474561786 711842679 949123572 1423685358 1542900461 1822114897 2847370716 3085800922 3644229794 4628701383 5466344691 6171601844 7165494779 7288459588 9257402766 10932689382 13886104149 14330989558 16399034073 18514805532 21496484337 21865378764 27772208298 28661979116 32798068146 42992968674 55544416596 64489453011 65596136292 85985937348 128978906022 257957812044 1167975648977 2335951297954 3503926946931 4671902595908 7007853893862 10511780840793 14015707787724 21023561681586 42047123363172