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6429978954 = 232762878117
BaseRepresentation
bin1011111110100000…
…11011000101001010
3121121010010202220200
411333100123011022
5101132033311304
62542012433030
7315224630220
oct57720330512
917533122820
106429978954
1127aa6123a3
1212b5478776
137b61a5899
1444dd78b10
1527976de39
hex17f41b14a

6429978954 has 48 divisors (see below), whose sum is σ = 15926347008. Its totient is φ = 1836618336.

The previous prime is 6429978949. The next prime is 6429979063. The reversal of 6429978954 is 4598799246.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6429978891 and 6429978900.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 788104 + ... + 796220.

It is an arithmetic number, because the mean of its divisors is an integer number (331798896).

Almost surely, 26429978954 is an apocalyptic number.

6429978954 is an abundant number, since it is smaller than the sum of its proper divisors (9496368054).

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

6429978954 is a wasteful number, since it uses less digits than its factorization.

6429978954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14416 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 6429978954 is about 80187.1495565218. The cubic root of 6429978954 is about 1859.5299766215.

The spelling of 6429978954 in words is "six billion, four hundred twenty-nine million, nine hundred seventy-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 6287 8117 12574 16234 18861 24351 37722 44009 48702 56583 56819 73053 88018 113166 113638 132027 146106 170457 264054 340914 396081 511371 792162 1022742 51031579 102063158 153094737 306189474 357221053 459284211 714442106 918568422 1071663159 2143326318 3214989477 6429978954