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260427300012 = 22351137658303
BaseRepresentation
bin1111001010001010101…
…1010011110010101100
3220220012121220120200000
43302202223103302230
513231323342100022
6315345540504300
724546426345225
oct3624253236254
9826177816600
10260427300012
11a04a0470070
12425806ab090
131b7344589b9
14c86760424c
156b9347e6ac
hex3ca2ad3cac

260427300012 has 144 divisors (see below), whose sum is σ = 764875517952. Its totient is φ = 76784345280.

The previous prime is 260427299999. The next prime is 260427300013. The reversal of 260427300012 is 210003724062.

260427300012 is a `hidden beast` number, since 2 + 604 + 27 + 30 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (260427300013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66453 + ... + 724755.

Almost surely, 2260427300012 is an apocalyptic number.

260427300012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260427300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382437758976).

260427300012 is an abundant number, since it is smaller than the sum of its proper divisors (504448217940).

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

260427300012 is a wasteful number, since it uses less digits than its factorization.

260427300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658370 (or 658356 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 260427300012 in words is "two hundred sixty billion, four hundred twenty-seven million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 132 148 162 198 222 243 297 324 333 396 407 444 486 594 666 814 891 972 999 1188 1221 1332 1628 1782 1998 2442 2673 2997 3564 3663 3996 4884 5346 5994 7326 8991 10692 10989 11988 14652 17982 21978 32967 35964 43956 65934 98901 131868 197802 395604 658303 1316606 1974909 2633212 3949818 5924727 7241333 7899636 11849454 14482666 17774181 21723999 23698908 24357211 28965332 35548362 43447998 48714422 53322543 65171997 71096724 73071633 86895996 97428844 106645086 130343994 146143266 159967629 195515991 213290172 219214899 260687988 267929321 292286532 319935258 391031982 438429798 535858642 586547973 639870516 657644697 782063964 803787963 876859596 1071717284 1173095946 1315289394 1607575926 1759643919 1972934091 2346191892 2411363889 2630578788 3215151852 3519287838 3945868182 4822727778 5918802273 7038575676 7234091667 7891736364 9645455556 11837604546 14468183334 21702275001 23675209092 28936366668 43404550002 65106825003 86809100004 130213650006 260427300012