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57516112122054 = 231710196715113821
BaseRepresentation
bin11010001001111100000110…
…11011101001000011000110
321112122111010202010120002220
431010332003123221003012
530014320444200401204
6322154312004513210
715054254606351535
oct1504760333510306
9245574122116086
1057516112122054
111736549a93a683
12654b0116ab806
13261299124b7b1
14102bb1a86031c
1569b1d57341d9
hex344f836e90c6

57516112122054 has 128 divisors (see below), whose sum is σ = 123245693835264. Its totient is φ = 17830659840000.

The previous prime is 57516112122047. The next prime is 57516112122061. The reversal of 57516112122054 is 45022121161575.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57516112122047) and next prime (57516112122061).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57516112121997 and 57516112122015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15052631464 + ... + 15052635284.

It is an arithmetic number, because the mean of its divisors is an integer number (962856983088).

Almost surely, 257516112122054 is an apocalyptic number.

57516112122054 is an abundant number, since it is smaller than the sum of its proper divisors (65729581713210).

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

57516112122054 is a wasteful number, since it uses less digits than its factorization.

57516112122054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422.

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 57516112122054 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, fifty-four".

Divisors: 1 2 3 6 17 34 51 101 102 202 303 606 967 1511 1717 1934 2901 3022 3434 3821 4533 5151 5802 7642 9066 10302 11463 16439 22926 25687 32878 49317 51374 64957 77061 97667 98634 129914 152611 154122 194871 195334 293001 305222 385921 389742 457833 586002 771842 915666 1157763 1461137 1660339 2315526 2594387 2922274 3320678 3694907 4383411 4981017 5188774 5773531 6560657 7389814 7783161 8766822 9962034 11084721 11547062 13121314 15566322 17320593 19681971 22169442 24839329 34641186 39363942 49678658 62813419 74517987 98150027 125626838 147574837 149035974 188440257 196300054 294450081 295149674 373185607 376880514 442724511 583126631 588900162 746371214 885449022 1119556821 1166253262 1749379893 2239113642 2508772229 3498759786 5017544458 5583004477 6344155319 7526316687 9913152727 11166008954 12688310638 15052633374 16749013431 19032465957 19826305454 29739458181 33498026862 38064931914 59478916362 94911076109 189822152218 284733228327 563883452177 569466456654 1127766904354 1691650356531 3383300713062 9586018687009 19172037374018 28758056061027 57516112122054