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57052086546 = 237132341110807
BaseRepresentation
bin110101001000100100…
…011100000100010010
312110021001120021201110
4311020210130010102
51413320313232141
642113120114150
74056542506560
oct651044340422
9173231507643
1057052086546
1122217463054
12b082765956
1354c2ab19c0
142a93168a30
15173da4be16
hexd4891c112

57052086546 has 128 divisors (see below), whose sum is σ = 150117359616. Its totient is φ = 14041336320.

The previous prime is 57052086517. The next prime is 57052086551. The reversal of 57052086546 is 64568025075.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57052086495 and 57052086504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459475 + ... + 570281.

It is an arithmetic number, because the mean of its divisors is an integer number (1172791872).

Almost surely, 257052086546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57052086546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75058679808).

57052086546 is an abundant number, since it is smaller than the sum of its proper divisors (93065273070).

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

57052086546 is a wasteful number, since it uses less digits than its factorization.

57052086546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110896.

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 57052086546 in words is "fifty-seven billion, fifty-two million, eighty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 41 42 46 69 78 82 91 123 138 161 182 246 273 287 299 322 483 533 546 574 598 861 897 943 966 1066 1599 1722 1794 1886 2093 2829 3198 3731 4186 5658 6279 6601 7462 11193 12259 12558 13202 19803 22386 24518 36777 39606 73554 85813 110807 171626 221614 257439 332421 514878 664842 775649 1440491 1551298 2326947 2548561 2880982 4321473 4543087 4653894 5097122 7645683 8642946 9086174 10083437 13629261 15291366 17839927 20166874 27258522 30250311 31801609 33131293 35679854 53519781 59060131 60500622 63603218 66262586 95404827 99393879 104491001 107039562 118120262 177180393 190809654 198787758 208982002 231919051 313473003 354360786 413420917 463838102 626946006 695757153 731437007 826841834 1240262751 1358383013 1391514306 1462874014 2194311021 2480525502 2716766026 4075149039 4388622042 8150298078 9508681091 19017362182 28526043273 57052086546