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1468053216 = 253274117761
BaseRepresentation
bin101011110000000…
…1011011011100000
310210022101211102100
41113200023123200
511001310200331
6401401250400
751244150350
oct12740133340
93708354370
101468053216
11693750123
1234b793a00
131a51b8156
14dcd88b60
1588d38ae6
hex5780b6e0

1468053216 has 144 divisors (see below), whose sum is σ = 4887818208. Its totient is φ = 409190400.

The previous prime is 1468053211. The next prime is 1468053227. The reversal of 1468053216 is 6123508641.

It is a happy number.

1468053216 is a `hidden beast` number, since 1 + 46 + 80 + 532 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468053211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73776 + ... + 91536.

It is an arithmetic number, because the mean of its divisors is an integer number (33943182).

Almost surely, 21468053216 is an apocalyptic number.

1468053216 is a gapful number since it is divisible by the number (16) 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 1468053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443909104).

1468053216 is an abundant number, since it is smaller than the sum of its proper divisors (3419764992).

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

1468053216 is a wasteful number, since it uses less digits than its factorization.

1468053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17825 (or 17814 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1468053216 is about 38315.1825781895. The cubic root of 1468053216 is about 1136.5292036084.

It can be divided in two parts, 14680 and 53216, that added together give a triangular number (67896 = T368).

The spelling of 1468053216 in words is "one billion, four hundred sixty-eight million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 17761 20664 27552 35522 41328 53283 71044 82656 106566 124327 142088 159849 213132 248654 284176 319698 372981 426264 497308 568352 639396 728201 745962 852528 994616 1118943 1278792 1456402 1491924 1705056 1989232 2184603 2237886 2557584 2912804 2983848 3978464 4369206 4475772 5097407 5115168 5825608 5967696 6553809 8738412 8951544 10194814 11651216 11935392 13107618 15292221 17476824 17903088 20389628 23302432 26215236 30584442 34953648 35806176 40779256 45876663 52430472 61168884 69907296 81558512 91753326 104860944 122337768 163117024 183506652 209721888 244675536 367013304 489351072 734026608 1468053216