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14645737002 = 23132373911047
BaseRepresentation
bin11011010001111010…
…00011011000101010
31101210200112112012210
431220331003120222
5214443302041002
610421140545550
71025635465461
oct155075033052
941720475183
1014645737002
116236155a86
122a089b22b6
1314c532c690
149cd1679d8
155aab8796c
hex368f4362a

14645737002 has 64 divisors (see below), whose sum is σ = 32963696640. Its totient is φ = 4304228544.

The previous prime is 14645736991. The next prime is 14645737003. The reversal of 14645737002 is 20073754641.

14645737002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146457370022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14645737003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320243 + ... + 1331289.

It is an arithmetic number, because the mean of its divisors is an integer number (515057760).

Almost surely, 214645737002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14645737002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481848320).

14645737002 is an abundant number, since it is smaller than the sum of its proper divisors (18317959638).

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

14645737002 is a wasteful number, since it uses less digits than its factorization.

14645737002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827.

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 14645737002 in words is "fourteen billion, six hundred forty-five million, seven hundred thirty-seven thousand, two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 739 897 1478 1794 2217 4434 9607 11047 16997 19214 22094 28821 33141 33994 50991 57642 66282 101982 143611 220961 254081 287222 430833 441922 508162 662883 762243 861666 1325766 1524486 3303053 6606106 8163733 9909159 16327466 19818318 24491199 48982398 106128529 187765859 212257058 318385587 375531718 563297577 636771174 1126595154 2440956167 4881912334 7322868501 14645737002