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57094873893225 = 325272719632
BaseRepresentation
bin11001111101101011011111…
…01011010100100101101001
321111011012211221002101020100
430332311233223110211221
524440420300204040400
6321233004543420013
715011653125445200
oct1476655753244551
9244135757071210
1057094873893225
1117212888941653
1264a14518b4609
1325b203c847a5c
141015599b74237
1569027e532100
hex33ed6fad4969

57094873893225 has 81 divisors (see below), whose sum is σ = 118960959044343. Its totient is φ = 26100151086240.

The previous prime is 57094873893199. The next prime is 57094873893247. The reversal of 57094873893225 is 52239837849075.

The square root of 57094873893225 is 7556115.

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

57094873893225 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 487 + 38 + 93 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20554154601561 + 36540719291664 = 4533669^2 + 6044892^2 .

It is not a de Polignac number, because 57094873893225 - 219 = 57094873368937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 793356094 + ... + 793428056.

Almost surely, 257094873893225 is an apocalyptic number.

57094873893225 is the 7556115-th square number.

57094873893225 is the 3778058-th centered octagonal number.

It is an amenable number.

57094873893225 is an abundant number, since it is smaller than the sum of its proper divisors (61866085151118).

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

57094873893225 is an frugal number, since it uses more digits than its factorization.

57094873893225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143956 (or 71978 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 57094873893225 in words is "fifty-seven trillion, ninety-four billion, eight hundred seventy-three million, eight hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 71963 215889 359815 503741 647667 1079445 1511223 1799075 2518705 3238335 3526187 4533669 5397225 7556115 10578561 12593525 16191675 17630935 22668345 31735683 37780575 52892805 88154675 113341725 158678415 264464025 793392075 5178673369 15536020107 25893366845 36250713583 46608060321 77680100535 108752140749 129466834225 181253567915 233040301605 253754995081 326256422247 388400502675 543760703745 761264985243 906267839575 1165201508025 1268774975405 1631282111235 2283794955729 2718803518725 3806324926215 6343874877025 8156410556175 11418974778645 19031624631075 57094873893225