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10568610240144 = 24311181823134371
BaseRepresentation
bin1001100111001011001001…
…0000100101011010010000
31101102100102121201021211020
42121302302100211122100
52341124003210141034
634251052535515440
72140362004550415
oct231626220453220
941370377637736
1010568610240144
113405138a59420
121228326228b80
135b8800819118
1428774856010c
15134da9166249
hex99cb2425690

10568610240144 has 160 divisors (see below), whose sum is σ = 29985432142848. Its totient is φ = 3181021632000.

The previous prime is 10568610240119. The next prime is 10568610240191. The reversal of 10568610240144 is 44104201686501.

It is a super-2 number, since 2×105686102401442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10568610240096 and 10568610240105.

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, 78585279 + ... + 78719649.

Almost surely, 210568610240144 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 10568610240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992716071424).

10568610240144 is an abundant number, since it is smaller than the sum of its proper divisors (19416821902704).

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

10568610240144 is a wasteful number, since it uses less digits than its factorization.

10568610240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135397 (or 135391 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10568610240144 in words is "ten trillion, five hundred sixty-eight billion, six hundred ten million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 181 264 362 528 543 724 823 1086 1448 1646 1991 2172 2469 2896 3292 3982 4344 4938 5973 6584 7964 8688 9053 9876 11946 13168 15928 18106 19752 23892 27159 31856 36212 39504 47784 54318 72424 95568 108636 134371 144848 148963 217272 268742 297926 403113 434544 446889 537484 595852 806226 893778 1074968 1191704 1478081 1612452 1638593 1787556 2149936 2383408 2956162 3224904 3277186 3575112 4434243 4915779 5912324 6449808 6554372 7150224 8868486 9831558 11824648 13108744 17736972 19663116 23649296 24321151 26217488 35473944 39326232 48642302 70947888 72963453 78652464 97284604 110587333 145926906 194569208 221174666 267532661 291853812 331761999 389138416 442349332 535065322 583707624 663523998 802597983 884698664 1070130644 1167415248 1216460663 1327047996 1605195966 1769397328 2140261288 2432921326 2654095992 3210391932 3649381989 4280522576 4865842652 5308191984 6420783864 7298763978 9731685304 12841567728 14597527956 19463370608 20016307273 29195055912 40032614546 58390111824 60048921819 80065229092 120097843638 160130458184 220179380003 240195687276 320260916368 440358760006 480391374552 660538140009 880717520012 960782749104 1321076280018 1761435040024 2642152560036 3522870080048 5284305120072 10568610240144