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57120421068 = 223229313747701
BaseRepresentation
bin110101001100101001…
…000111010011001100
312110102211011001001200
4311030221013103030
51413440311433233
642124000505500
74061332365564
oct651451072314
9173384131050
1057120421068
1122251a96867
12b0a161b290
135503cb9429
142a9c275da4
151744a49313
hexd4ca474cc

57120421068 has 144 divisors (see below), whose sum is σ = 158355375360. Its totient is φ = 17309376000.

The previous prime is 57120421063. The next prime is 57120421081. The reversal of 57120421068 is 86012402175.

57120421068 is a `hidden beast` number, since 57 + 120 + 421 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57120421063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173618 + ... + 1221318.

Almost surely, 257120421068 is an apocalyptic number.

57120421068 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57120421068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79177687680).

57120421068 is an abundant number, since it is smaller than the sum of its proper divisors (101234954292).

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

57120421068 is a wasteful number, since it uses less digits than its factorization.

57120421068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47808 (or 47803 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 57120421068 in words is "fifty-seven billion, one hundred twenty million, four hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 37 58 62 74 87 93 111 116 124 148 174 186 222 261 279 333 348 372 444 522 558 666 899 1044 1073 1116 1147 1332 1798 2146 2294 2697 3219 3441 3596 4292 4588 5394 6438 6882 8091 9657 10323 10788 12876 13764 16182 19314 20646 32364 33263 38628 41292 47701 66526 95402 99789 133052 143103 190804 199578 286206 299367 399156 429309 572412 598734 858618 1197468 1383329 1478731 1717236 1764937 2766658 2957462 3529874 4149987 4436193 5294811 5533316 5914924 7059748 8299974 8872386 10589622 12449961 13308579 15884433 16599948 17744772 21179244 24899922 26617158 31768866 42883199 49799844 51183173 53234316 54713047 63537732 85766398 102366346 109426094 128649597 153549519 164139141 171532796 204732692 218852188 257299194 307099038 328278282 385948791 460648557 492417423 514598388 614198076 656556564 771897582 921297114 984834846 1543795164 1586678363 1842594228 1969669692 3173356726 4760035089 6346713452 9520070178 14280105267 19040140356 28560210534 57120421068