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2118180113568 = 253219880343973
BaseRepresentation
bin11110110100101101010…
…111111000110010100000
321111111101121120122121100
4132310231113320302200
5234201013102113233
64301024542554400
7306014322616101
oct36645527706240
97444347518540
102118180113568
117473514a9332
122a2626298a00
131249886b7b5c
14747402243a8
153a1732ec813
hex1ed2d5f8ca0

2118180113568 has 144 divisors (see below), whose sum is σ = 6341469432480. Its totient is φ = 668807788032.

The previous prime is 2118180113537. The next prime is 2118180113593. The reversal of 2118180113568 is 8653110818112.

2118180113568 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 1 + 80 + 1 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48148030 + ... + 48192002.

It is an arithmetic number, because the mean of its divisors is an integer number (44037982170).

Almost surely, 22118180113568 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 2118180113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170734716240).

2118180113568 is an abundant number, since it is smaller than the sum of its proper divisors (4223289318912).

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

2118180113568 is a wasteful number, since it uses less digits than its factorization.

2118180113568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52811 (or 52800 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 2118180113568 in words is "two trillion, one hundred eighteen billion, one hundred eighty million, one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 8803 17606 26409 35212 43973 52818 70424 79227 87946 105636 131919 140848 158454 167257 175892 211272 263838 281696 316908 334514 351784 395757 422544 501771 527676 633816 669028 703568 791514 835487 845088 1003542 1055352 1267632 1338056 1407136 1505313 1583028 1670974 2007084 2110704 2506461 2535264 2676112 3010626 3166056 3341948 4014168 4221408 5012922 5352224 6021252 6332112 6683896 7519383 8028336 10025844 12042504 12664224 13367792 15038766 16056672 20051688 24085008 26735584 30077532 40103376 48170016 60155064 80206752 120310128 240620256 387094319 774188638 1161282957 1548377276 2322565914 3096754552 3483848871 4645131828 6193509104 6967697742 7354792061 9290263656 12387018208 13935395484 14709584122 18580527312 22064376183 27870790968 29419168244 37161054624 44128752366 55741581936 58838336488 66193128549 88257504732 111483163872 117676672976 132386257098 176515009464 235353345952 264772514196 353030018928 529545028392 706060037856 1059090056784 2118180113568