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57157572006766 = 271119293623185923
BaseRepresentation
bin11001111111100000010001…
…10001101001001101101110
321111101012200110122112221201
430333300020301221031232
524442432201413204031
6321321454233520114
715016332626561140
oct1477601061511556
9244335613575851
1057157572006766
1117237432337310
1264b162b27303a
1325b7c2227ab1a
141018626ac8c90
15691beda95d61
hex33fc08c6936e

57157572006766 has 128 divisors (see below), whose sum is σ = 116430665932800. Its totient is φ = 20363902796160.

The previous prime is 57157572006727. The next prime is 57157572006767. The reversal of 57157572006766 is 66760027575175.

It is a junction number, because it is equal to n+sod(n) for n = 57157572006698 and 57157572006707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57157572006767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307333081 + ... + 307519003.

It is an arithmetic number, because the mean of its divisors is an integer number (909614577600).

Almost surely, 257157572006766 is an apocalyptic number.

57157572006766 is an abundant number, since it is smaller than the sum of its proper divisors (59273093926034).

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

57157572006766 is a wasteful number, since it uses less digits than its factorization.

57157572006766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189614.

The product of its (nonzero) digits is 129654000, while the sum is 64.

The spelling of 57157572006766 in words is "fifty-seven trillion, one hundred fifty-seven billion, five hundred seventy-two million, six thousand, seven hundred sixty-six".

Divisors: 1 2 7 11 14 19 22 29 38 58 77 133 154 203 209 266 319 406 418 551 638 1102 1463 2233 2926 3623 3857 4466 6061 7246 7714 12122 25361 39853 42427 50722 68837 79706 84854 105067 137674 185923 210134 278971 371846 481859 557942 735469 757207 963718 1155737 1301461 1470938 1514414 1996273 2045153 2311474 2602922 3532537 3992546 4090306 5300449 5391767 7065074 8090159 10600898 10783534 13973911 14316071 16180318 21959003 24727759 27947822 28632142 37742369 38857907 43918006 49455518 59309437 75484738 77715814 102443573 118618874 153713021 204887146 272005349 307426042 415166059 544010698 673599029 717105011 830332118 1126879303 1347198058 1434210022 2253758606 4715193203 7409589319 7888155121 9430386406 12798381551 14819178638 15776310242 19534371841 25596763102 39068743682 51867125233 89588670857 103734250466 136740602887 140782197061 179177341714 214878090251 273481205774 281564394122 371153064979 429756180502 742306129958 985475379427 1504146631757 1970950758854 2598071454853 3008293263514 4082683714769 5196142909706 8165367429538 28578786003383 57157572006766