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14471609856 = 293111750383
BaseRepresentation
bin11010111101001001…
…10011111000000000
31101100112212221200020
431132210303320000
5214114213003411
610352000453440
71021422440244
oct153644637000
941315787606
1014471609856
116156934750
12297a61a280
131498233972
149b3d9c424
1559a73e606
hex35e933e00

14471609856 has 160 divisors (see below), whose sum is σ = 44533006848. Its totient is φ = 4127293440.

The previous prime is 14471609833. The next prime is 14471609903. The reversal of 14471609856 is 65890617441.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 14471609799 and 14471609808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262041 + ... + 312423.

Almost surely, 214471609856 is an apocalyptic number.

14471609856 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 14471609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266503424).

14471609856 is an abundant number, since it is smaller than the sum of its proper divisors (30061396992).

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

14471609856 is a wasteful number, since it uses less digits than its factorization.

14471609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50432 (or 50416 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14471609856 in words is "fourteen billion, four hundred seventy-one million, six hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5632 5984 6528 8448 8704 8976 11968 13056 16896 17952 23936 26112 35904 47872 50383 71808 95744 100766 143616 151149 201532 287232 302298 403064 554213 604596 806128 856511 1108426 1209192 1612256 1662639 1713022 2216852 2418384 2569533 3224512 3325278 3426044 4433704 4836768 5139066 6449024 6650556 6852088 8867408 9421621 9673536 10278132 12898048 13301112 13704176 17734816 18843242 19347072 20556264 25796096 26602224 27408352 28264863 35469632 37686484 38694144 41112528 53204448 54816704 56529726 70939264 75372968 77388288 82225056 106408896 109633408 113059452 141878528 150745936 164450112 212817792 219266816 226118904 283757056 301491872 328900224 425635584 438533632 452237808 602983744 657800448 851271168 904475616 1205967488 1315600896 1808951232 2411934976 3617902464 4823869952 7235804928 14471609856