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57505221657604 = 22726167409317539
BaseRepresentation
bin11010001001100111110100…
…10011110100010000000100
321112121110000202210122101201
431010303322103310100010
530014131143221020404
6322145311212232244
715053421000054400
oct1504637223642004
9245543022718351
1057505221657604
1117360911516536
126548a9246b684
132611946c25ca6
14102b3a6344100
1569ac995ceca4
hex344cfa4f4404

57505221657604 has 144 divisors (see below), whose sum is σ = 120795547131840. Its totient is φ = 23872074589440.

The previous prime is 57505221657581. The next prime is 57505221657677. The reversal of 57505221657604 is 40675612250575.

It is a super-2 number, since 2×575052216576042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3278697067 + ... + 3278714605.

Almost surely, 257505221657604 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 57505221657604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397773565920).

57505221657604 is an abundant number, since it is smaller than the sum of its proper divisors (63290325474236).

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

57505221657604 is a wasteful number, since it uses less digits than its factorization.

57505221657604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21778 (or 21769 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 55.

The spelling of 57505221657604 in words is "fifty-seven trillion, five hundred five billion, two hundred twenty-one million, six hundred fifty-seven thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 61 67 98 122 134 196 244 268 427 469 854 938 1708 1876 2989 3283 4087 4093 5978 6566 8174 8186 11956 13132 16348 16372 17539 28609 28651 35078 57218 57302 70156 114436 114604 122773 200263 200557 245546 249673 274231 400526 401114 491092 499346 548462 801052 802228 859411 998692 1069879 1096924 1175113 1718822 1747711 1919617 2139758 2350226 3437644 3495422 3839234 4279516 4700452 6990844 7489153 7678468 8225791 12233977 13437319 14978306 16451582 16728091 24467954 26874638 29956612 32903164 33456182 48935908 52424071 53749276 57580537 66912364 71681893 71787127 104848142 115161074 117096637 143363786 143574254 209696284 230322148 234193274 286727572 287148508 468386548 501773251 502509889 819676459 1003546502 1005019778 1639352918 2007093004 2010039556 3278705836 3512412757 3517569223 4379014747 4809737509 7024825514 7035138446 8758029494 9619475018 14049651028 14070276892 17516058988 19238950036 30653103229 33668162563 61306206458 67336325126 122612412916 134672650252 214571722603 235677137941 293393988049 429143445206 471354275882 586787976098 858286890412 942708551764 1173575952196 2053757916343 4107515832686 8215031665372 14376305414401 28752610828802 57505221657604