Search a number
-
+
57644215663602 = 23171953767373141
BaseRepresentation
bin11010001101101010101101…
…11111110111101111110010
321120002201210111112201210210
431012311112333313233302
530023420323202213402
6322333215340204550
715066441254446521
oct1506652677675762
9246081714481723
1057644215663602
1117404857a62477
12656ba03239756
132621a9825c759
141033dd01044b8
1569e6d1d3906c
hex346d56ff7bf2

57644215663602 has 128 divisors (see below), whose sum is σ = 130938129642240. Its totient is φ = 16806968156160.

The previous prime is 57644215663591. The next prime is 57644215663733. The reversal of 57644215663602 is 20636651244675.

It is a happy number.

It is a super-2 number, since 2×576442156636022 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788087952 + ... + 788161092.

It is an arithmetic number, because the mean of its divisors is an integer number (1022954137830).

Almost surely, 257644215663602 is an apocalyptic number.

57644215663602 is an abundant number, since it is smaller than the sum of its proper divisors (73293913978638).

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

57644215663602 is a wasteful number, since it uses less digits than its factorization.

57644215663602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80908.

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 57644215663602 in words is "fifty-seven trillion, six hundred forty-four billion, two hundred fifteen million, six hundred sixty-three thousand, six hundred two".

Divisors: 1 2 3 6 17 19 34 38 51 53 57 102 106 114 159 318 323 646 901 969 1007 1802 1938 2014 2703 3021 5406 6042 7673 15346 17119 23019 34238 46038 51357 73141 102714 130441 145787 146282 219423 260882 291574 391323 406669 437361 438846 782646 813338 874722 1220007 1243397 1389679 2440014 2478379 2486794 2779358 3730191 3876473 4169037 4956758 6913373 7435137 7460382 7726711 7752946 8338074 11629419 13826746 14870274 15453422 20740119 23180133 23258838 23624543 41480238 46360266 47249086 65900041 70873629 73652987 131354087 131800082 141747258 147305974 197700123 220958961 262708174 394062261 395400246 441917922 561210893 788124522 1122421786 1252100779 1683632679 2504201558 3367265358 3756302337 7512604674 9540585181 10663006967 19081170362 21326013934 28621755543 29744177329 31989020901 57243511086 59488354658 63978041802 89232531987 178465063974 181271118439 362542236878 505651014593 543813355317 565139369251 1011302029186 1087626710634 1130278738502 1516953043779 1695418107753 3033906087558 3390836215506 9607369277267 19214738554534 28822107831801 57644215663602