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57364874266680 = 2334559300088273
BaseRepresentation
bin11010000101100010011001…
…11101000000100000111000
321112010000202201102110220000
431002301030331000200320
530004331230303013210
6322001020500433000
715040322026655511
oct1502611475004070
9245100681373800
1057364874266680
111730734102a462
1265258443a8760
13260163b3b2546
141024690927a08
156972d313cac0
hex342c4cf40838

57364874266680 has 160 divisors (see below), whose sum is σ = 196077678231600. Its totient is φ = 15038023486464.

The previous prime is 57364874266657. The next prime is 57364874266741. The reversal of 57364874266680 is 8666247846375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57364874266599 and 57364874266608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149852977 + ... + 150235296.

Almost surely, 257364874266680 is an apocalyptic number.

It is an amenable number.

57364874266680 is an abundant number, since it is smaller than the sum of its proper divisors (138712803964920).

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

57364874266680 is a wasteful number, since it uses less digits than its factorization.

57364874266680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300088355 (or 300088342 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 57364874266680 in words is "fifty-seven trillion, three hundred sixty-four billion, eight hundred seventy-four million, two hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 81 90 108 118 120 135 162 177 180 216 236 270 295 324 354 360 405 472 531 540 590 648 708 810 885 1062 1080 1180 1416 1593 1620 1770 2124 2360 2655 3186 3240 3540 4248 4779 5310 6372 7080 7965 9558 10620 12744 15930 19116 21240 23895 31860 38232 47790 63720 95580 191160 300088273 600176546 900264819 1200353092 1500441365 1800529638 2400706184 2700794457 3000882730 3601059276 4501324095 5401588914 6001765460 7202118552 8102383371 9002648190 10803177828 12003530920 13503972285 16204766742 17705208107 18005296380 21606355656 24307150113 27007944570 32409533484 35410416214 36010592760 40511916855 48614300226 53115624321 54015889140 64819066968 70820832428 81023833710 88526040535 97228600452 106231248642 108031778280 121535750565 141641664856 159346872963 162047667420 177052081070 194457200904 212462497284 243071501130 265578121605 318693745926 324095334840 354104162140 424924994568 478040618889 486143002260 531156243210 637387491852 708208324280 796734364815 956081237778 972286004520 1062312486420 1274774983704 1434121856667 1593468729630 1912162475556 2124624972840 2390203094445 2868243713334 3186937459260 3824324951112 4780406188890 5736487426668 6373874918520 7170609283335 9560812377780 11472974853336 14341218566670 19121624755560 28682437133340 57364874266680