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57095039261052 = 2232138912710793413
BaseRepresentation
bin11001111101101011110011…
…00010001001100101111100
321111011020021110020221020200
430332311321202021211330
524440421120022323202
6321233033212043500
715011660204162142
oct1476657142114574
9244136243227220
1057095039261052
111721296321a981
1264a1499163590
1325b2067b97840
1410155b3add592
1569028dce9e1c
hex33ed7988997c

57095039261052 has 144 divisors (see below), whose sum is σ = 158409324702720. Its totient is φ = 17233538724864.

The previous prime is 57095039260969. The next prime is 57095039261111. The reversal of 57095039261052 is 25016293059075.

57095039261052 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 503 + 9 + 26 + 105 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57095039261052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106903 + ... + 10686510.

It is an arithmetic number, because the mean of its divisors is an integer number (1100064754880).

Almost surely, 257095039261052 is an apocalyptic number.

57095039261052 is a gapful number since it is divisible by the number (52) 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 57095039261052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79204662351360).

57095039261052 is an abundant number, since it is smaller than the sum of its proper divisors (101314285441668).

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

57095039261052 is a wasteful number, since it uses less digits than its factorization.

57095039261052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793652 (or 10793647 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 57095039261052 in words is "fifty-seven trillion, ninety-five billion, thirty-nine million, two hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 127 156 178 234 254 267 356 381 468 508 534 762 801 1068 1143 1157 1524 1602 1651 2286 2314 3204 3302 3471 4572 4628 4953 6604 6942 9906 10413 11303 13884 14859 19812 20826 22606 29718 33909 41652 45212 59436 67818 101727 135636 146939 203454 293878 406908 440817 587756 881634 1322451 1763268 2644902 5289804 10793413 21586826 32380239 43173652 64760478 97140717 129520956 140314369 194281434 280628738 388562868 420943107 561257476 841886214 960613757 1262829321 1370763451 1683772428 1921227514 2525658642 2741526902 2881841271 3842455028 4112290353 5051317284 5483053804 5763682542 8224580706 8645523813 11527365084 12336871059 12487978841 16449161412 17291047626 17819924863 24673742118 24975957682 34582095252 35639849726 37463936523 49347484236 49951915364 53459774589 71279699452 74927873046 106919549178 112391809569 121997947139 149855746092 160379323767 213839098356 224783619138 243995894278 320758647534 365993841417 449567238276 487991788556 641517295068 731987682834 1097981524251 1463975365668 1585973312807 2195963048502 3171946625614 4391926097004 4757919938421 6343893251228 9515839876842 14273759815263 19031679753684 28547519630526 57095039261052