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2113061946352 = 247314730742179
BaseRepresentation
bin11110101111111100010…
…011101000001111110000
321111000011220211211002121
4132233330103220033300
5234110022324240402
64254421030524024
7305443434122560
oct36577423501760
97430156754077
102113061946352
11745165421575
122a1638206614
13124351224646
14743b65a2da0
1539e73d03837
hex1ebfc4e83f0

2113061946352 has 160 divisors (see below), whose sum is σ = 4948803256320. Its totient is φ = 854924440320.

The previous prime is 2113061946319. The next prime is 2113061946403. The reversal of 2113061946352 is 2536491603112.

It is a super-2 number, since 2×21130619463522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113061946299 and 2113061946308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50076399 + ... + 50118577.

It is an arithmetic number, because the mean of its divisors is an integer number (30930020352).

Almost surely, 22113061946352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113061946352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474401628160).

2113061946352 is an abundant number, since it is smaller than the sum of its proper divisors (2835741309968).

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

2113061946352 is a wasteful number, since it uses less digits than its factorization.

2113061946352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42579 (or 42573 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 2113061946352 in words is "two trillion, one hundred thirteen billion, sixty-one million, nine hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 47 56 62 94 112 124 188 217 248 307 329 376 434 496 614 658 752 868 1228 1316 1457 1736 2149 2456 2632 2914 3472 4298 4912 5264 5828 8596 9517 10199 11656 14429 17192 19034 20398 23312 28858 34384 38068 40796 42179 57716 66619 76136 81592 84358 101003 115432 133238 152272 163184 168716 202006 230864 266476 295253 337432 404012 447299 532952 590506 674864 808024 894598 1065904 1181012 1307549 1616048 1789196 1982413 2362024 2615098 3131093 3578392 3964826 4724048 5230196 6262186 7156784 7929652 9152843 10460392 12524372 12948953 13876891 15859304 18305686 20920784 25048744 25897906 27753782 31718608 36611372 50097488 51795812 55507564 61454803 73222744 90642671 103591624 111015128 122909606 146445488 181285342 207183248 222030256 245819212 362570684 401417543 430183621 491638424 608600791 725141368 802835086 860367242 983276848 1217201582 1450282736 1605670172 1720734484 2434403164 2809922801 3211340344 3441468968 4260205537 4868806328 5619845602 6422680688 6882937936 8520411074 9737612656 11239691204 17040822148 18866624521 22479382408 34081644296 37733249042 44958764816 68163288592 75466498084 132066371647 150932996168 264132743294 301865992336 528265486588 1056530973176 2113061946352