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42475580910 = 23257219506929
BaseRepresentation
bin100111100011101111…
…011110110111101110
311001122012022002002100
4213203233132313232
51143442222042120
631302451035530
73032404323600
oct474357366756
9131565262070
1042475580910
11170173a3684
128294b9bba6
13400bc12039
1420ad2a3170
151188edc490
hex9e3bdedee

42475580910 has 144 divisors (see below), whose sum is σ = 135228646800. Its totient is φ = 9197701632.

The previous prime is 42475580879. The next prime is 42475580923. The reversal of 42475580910 is 1908557424.

42475580910 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 558 + 0 + 91 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169675 + ... + 337254.

It is an arithmetic number, because the mean of its divisors is an integer number (939087825).

Almost surely, 242475580910 is an apocalyptic number.

42475580910 is an abundant number, since it is smaller than the sum of its proper divisors (92753065890).

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

42475580910 is a wasteful number, since it uses less digits than its factorization.

42475580910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506975 (or 506965 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 42475580910 in words is "forty-two billion, four hundred seventy-five million, five hundred eighty thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2793 3990 4410 4655 5586 5985 8379 9310 11970 13965 16758 27930 41895 83790 506929 1013858 1520787 2534645 3041574 3548503 4562361 5069290 7097006 7603935 9124722 9631651 10645509 15207870 17742515 19263302 21291018 22811805 24839521 28894953 31936527 35485030 45623610 48158255 49679042 53227545 57789906 63873054 67421557 74518563 86684859 96316510 106455090 124197605 134843114 144474765 149037126 159682635 173369718 202264671 223555689 248395210 288949530 319365270 337107785 372592815 404529342 433424295 447111378 471950899 606794013 674215570 745185630 866848590 943901798 1011323355 1117778445 1213588026 1415852697 2022646710 2235556890 2359754495 2831705394 3033970065 4247558091 4719508990 6067940130 7079263485 8495116182 14158526970 21237790455 42475580910