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14492017152 = 29342231567
BaseRepresentation
bin11010111111100101…
…01010001000000000
31101101222021202020000
431133302222020000
5214134424022102
610354010120000
71022061053604
oct153762521000
941358252200
1014492017152
116167402a88
122985420000
13149c52a5a2
149b6991504
1559c42101c
hex35fcaa200

14492017152 has 200 divisors, whose sum is σ = 43476550656. Its totient is φ = 4805941248.

The previous prime is 14492017147. The next prime is 14492017157. The reversal of 14492017152 is 25171029441.

14492017152 is a `hidden beast` number, since 1 + 4 + 492 + 0 + 17 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (14492017147) and next prime (14492017157).

It is a super-2 number, since 2×144920171522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14492017157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9247473 + ... + 9249039.

Almost surely, 214492017152 is an apocalyptic number.

14492017152 is a gapful number since it is divisible by the number (12) 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 14492017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738275328).

14492017152 is an abundant number, since it is smaller than the sum of its proper divisors (28984533504).

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

14492017152 is an equidigital number, since it uses as much as digits as its factorization.

14492017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14492017152 in words is "fourteen billion, four hundred ninety-two million, seventeen thousand, one hundred fifty-two".