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57454344345475 = 52711298839116437
BaseRepresentation
bin11010001000001001000011…
…10010010001011110000011
321112102120201001011101210001
431010010201302101132003
530012312444123023400
6322110054511020431
715046640133045340
oct1504044162213603
9245376631141701
1057454344345475
1117341283607940
12653b05380a717
132609bc94a457c
141028b3b2c17c7
156997bcbe0a6a
hex344121c91783

57454344345475 has 96 divisors (see below), whose sum is σ = 91896968217600. Its totient is φ = 34576461964800.

The previous prime is 57454344345469. The next prime is 57454344345511.

57454344345475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57454344345475 - 223 = 57454335956867 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493378957 + ... + 493495393.

It is an arithmetic number, because the mean of its divisors is an integer number (957260085600).

Almost surely, 257454344345475 is an apocalyptic number.

57454344345475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57454344345475 is a deficient number, since it is larger than the sum of its proper divisors (34442623872125).

57454344345475 is a wasteful number, since it uses less digits than its factorization.

57454344345475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125333 (or 125328 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 64.

The spelling of 57454344345475 in words is "fifty-seven trillion, four hundred fifty-four billion, three hundred forty-four million, three hundred forty-five thousand, four hundred seventy-five".

Divisors: 1 5 7 11 25 29 35 55 77 145 175 203 275 319 385 725 1015 1595 1925 2233 5075 7975 8839 11165 44195 55825 61873 97229 116437 220975 256331 309365 486145 582185 680603 815059 1280807 1281655 1546825 1794317 2430725 2819641 2910925 3376673 3403015 4075295 6404035 6408275 8965649 8971585 14098205 16883365 17015075 19737487 20376475 23636711 32020175 37143403 44828245 44857925 70491025 84416825 98687435 118183555 185717015 224141225 260003821 493437175 590917775 928585075 1029186643 1300019105 5145933215 6500095525 7204306501 11321053073 25729666075 29846412647 36021532505 56605265365 79247371511 149232063235 180107662525 208924888529 283026326825 328310539117 396236857555 746160316175 1044624442645 1641552695585 1981184287775 2298173773819 5223122213225 8207763477925 11490868869095 57454344345475