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57073262206050 = 23352346712193969
BaseRepresentation
bin11001111101000011001111…
…00001010001110001100010
321111002011001202212220211000
430332201213201101301202
524440042020111043200
6321215032242132430
715010256433233646
oct1476414741216142
9244064052786730
1057073262206050
11172046a8689162
126499220051116
1325acca72a488c
1410145097d4c26
1568e917059300
hex33e867851c62

57073262206050 has 96 divisors (see below), whose sum is σ = 157313919211200. Its totient is φ = 15215145511680.

The previous prime is 57073262206013. The next prime is 57073262206057. The reversal of 57073262206050 is 5060226237075.

57073262206050 is a `hidden beast` number, since 5 + 7 + 0 + 7 + 32 + 6 + 2 + 2 + 0 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57073262205987 and 57073262206005.

It is not an unprimeable number, because it can be changed into a prime (57073262206057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416535 + ... + 10777434.

It is an arithmetic number, because the mean of its divisors is an integer number (1638686658450).

Almost surely, 257073262206050 is an apocalyptic number.

57073262206050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57073262206050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78656959605600).

57073262206050 is an abundant number, since it is smaller than the sum of its proper divisors (100240657005150).

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

57073262206050 is a wasteful number, since it uses less digits than its factorization.

57073262206050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197457 (or 12197446 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 57073262206050 in words is "fifty-seven trillion, seventy-three billion, two hundred sixty-two million, two hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 3467 6934 10401 17335 20802 31203 34670 52005 62406 86675 93609 104010 156015 173350 187218 260025 312030 468045 520050 780075 936090 1560150 2340225 4680450 12193969 24387938 36581907 60969845 73163814 109745721 121939690 182909535 219491442 304849225 329237163 365819070 548728605 609698450 658474326 914547675 1097457210 1646185815 1829095350 2743643025 3292371630 5487286050 8230929075 16461858150 42276490523 84552981046 126829471569 211382452615 253658943138 380488414707 422764905230 634147357845 760976829414 1056912263075 1141465244121 1268294715690 1902442073535 2113824526150 2282930488242 3170736789225 3804884147070 5707326220605 6341473578450 9512210367675 11414652441210 19024420735350 28536631103025 57073262206050