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57217802420025 = 3252132387912
BaseRepresentation
bin11010000001010000011101…
…10010011011111100111001
321111120222011000210120021100
431000220032302123330321
524444424024404420100
6321405255012402013
715023564324622462
oct1500501662337471
9244528130716240
1057217802420025
111725aa2a88a255
12650123a316309
1325c0800680400
14101b4dbdd9d69
1569357665e400
hex340a0ec9bf39

57217802420025 has 81 divisors (see below), whose sum is σ = 110976055103277. Its totient is φ = 28168038100800.

The previous prime is 57217802419901. The next prime is 57217802420033. The reversal of 57217802420025 is 52002420871275.

The square root of 57217802420025 is 7564245.

It is a perfect power (a square), and thus also a powerful number.

57217802420025 is a `hidden beast` number, since 5 + 7 + 217 + 8 + 0 + 2 + 420 + 0 + 2 + 5 = 666.

57217802420025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14747973215481 + 42469829204544 = 3840309^2 + 6516888^2 .

It is a de Polignac number, because none of the positive numbers 2k-57217802420025 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1475008380 + ... + 1475047170.

Almost surely, 257217802420025 is an apocalyptic number.

57217802420025 is the 7564245-th square number.

57217802420025 is the 3782123-rd centered octagonal number.

It is an amenable number.

57217802420025 is a deficient number, since it is larger than the sum of its proper divisors (53758252683252).

57217802420025 is an frugal number, since it uses more digits than its factorization.

57217802420025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77624 (or 38812 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 57217802420025 in words is "fifty-seven trillion, two hundred seventeen billion, eight hundred two million, four hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 38025 38791 116373 193955 349119 504283 581865 969775 1512849 1745595 2521415 2909325 4538547 6555679 7564245 8727975 12607075 19667037 22692735 32778395 37821225 59001111 98335185 113463675 163891975 295005555 491675925 1475027775 1504741681 4514225043 7523708405 13542675129 19561641853 22571125215 37618542025 58684925559 67713375645 97808209265 112855626075 176054776677 254301344089 293424627795 338566878225 489041046325 762904032267 880273883385 1271506720445 1467123138975 2288712096801 3814520161335 4401369416925 6357533602225 11443560484005 19072600806675 57217802420025