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56757740445 = 345737717621
BaseRepresentation
bin110100110111000001…
…100110001110011101
312102111112200221210000
4310313001212032131
51412214440143240
642024003204513
74046336555640
oct646701461635
9172445627700
1056757740445
11220862a050a
12b000076739
135476b13503
142a66027a57
151722ca8430
hexd3706639d

56757740445 has 160 divisors (see below), whose sum is σ = 121118823936. Its totient is φ = 24886310400.

The previous prime is 56757740407. The next prime is 56757740449. The reversal of 56757740445 is 54404775765.

56757740445 is a `hidden beast` number, since 5 + 67 + 577 + 4 + 0 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 56757740445 - 220 = 56756691869 is a prime.

It is a super-2 number, since 2×567577404452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56757740391 and 56757740400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56757740449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7443735 + ... + 7451355.

Almost surely, 256757740445 is an apocalyptic number.

It is an amenable number.

56757740445 is an abundant number, since it is smaller than the sum of its proper divisors (64361083491).

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

56757740445 is a wasteful number, since it uses less digits than its factorization.

56757740445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 56757740445 in words is "fifty-six billion, seven hundred fifty-seven million, seven hundred forty thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 71 81 105 111 135 185 189 213 259 315 333 355 405 497 555 567 639 777 945 999 1065 1295 1491 1665 1917 2331 2485 2627 2835 2997 3195 3885 4473 4995 5751 6993 7455 7621 7881 9585 11655 13135 13419 14985 18389 20979 22365 22863 23643 28755 34965 38105 39405 40257 53347 55167 67095 68589 70929 91945 104895 114315 118215 160041 165501 201285 205767 212787 266735 275835 281977 342945 354645 480123 496503 541091 617301 800205 827505 845931 1028835 1063935 1409885 1440369 1489509 1623273 1973839 2400615 2482515 2537793 2705455 3086505 3787637 4229655 4321107 4869819 5921517 7201845 7447545 7613379 8116365 9869195 11362911 12688965 14609457 17764551 18938185 20020367 21605535 22840137 24349095 29607585 34088733 38066895 43828371 53293653 56814555 60061101 73047285 88822755 100101835 102266199 114200685 140142569 159880959 170443665 180183303 219141855 266468265 300305505 306798597 420427707 511330995 540549909 700712845 799404795 900916515 1261283121 1533992985 1621649727 2102138535 2702749545 3783849363 6306415605 8108248635 11351548089 18919246815 56757740445