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57984242269788 = 223215770431456633
BaseRepresentation
bin11010010111100100000100…
…01010011011111001011100
321121022020110112121000212200
431023302002022123321130
530100003212010113123
6323153332042331500
715133136402065062
oct1513620212337134
9247266415530780
1057984242269788
1117525a8512a39a
1266058994b9b90
132647b767c7c03
14104664917c032
156a84834d8143
hex34bc8229be5c

57984242269788 has 72 divisors (see below), whose sum is σ = 147525898844688. Its totient is φ = 19202231962368.

The previous prime is 57984242269757. The next prime is 57984242269817. The reversal of 57984242269788 is 88796224248975.

57984242269788 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 424 + 2 + 26 + 97 + 88 = 666.

57984242269788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39078720 + ... + 40535352.

Almost surely, 257984242269788 is an apocalyptic number.

It is an amenable number.

57984242269788 is an abundant number, since it is smaller than the sum of its proper divisors (89541656574900).

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

57984242269788 is a wasteful number, since it uses less digits than its factorization.

57984242269788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463843 (or 1463838 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 57984242269788 in words is "fifty-seven trillion, nine hundred eighty-four billion, two hundred forty-two million, two hundred sixty-nine thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 7043 14086 21129 28172 42258 63387 84516 126774 253548 1105751 1456633 2211502 2913266 3317253 4369899 4423004 5826532 6634506 8739798 9951759 13109697 13269012 17479596 19903518 26219394 39807036 52438788 228691381 457382762 686074143 914765524 1372148286 2058222429 2744296572 4116444858 8232889716 10259066219 20518132438 30777198657 41036264876 61554397314 92331595971 123108794628 184663191942 369326383884 1610673396383 3221346792766 4832020189149 6442693585532 9664040378298 14496060567447 19328080756596 28992121134894 57984242269788