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1429628767 = 73124612
BaseRepresentation
bin101010100110110…
…0110011101011111
310200122002122222121
41111031212131133
510411441110032
6353505523411
750266433620
oct12515463537
93618078877
101429628767
11673a96286
1233a943567
1319a2537a8
14d7c25a47
1585798a97
hex5536675f

1429628767 has 18 divisors (see below), whose sum is σ = 1691936952. Its totient is φ = 1183294800.

The previous prime is 1429628743. The next prime is 1429628771. The reversal of 1429628767 is 7678269241.

It is a de Polignac number, because none of the positive numbers 2k-1429628767 is a prime.

It is a super-2 number, since 2×14296287672 = 4087676822867880578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429628737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3100917 + ... + 3101377.

Almost surely, 21429628767 is an apocalyptic number.

1429628767 is a deficient number, since it is larger than the sum of its proper divisors (262308185).

1429628767 is an frugal number, since it uses more digits than its factorization.

1429628767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 499 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 1429628767 is about 37810.4319864241. The cubic root of 1429628767 is about 1126.5256711255.

The spelling of 1429628767 in words is "one billion, four hundred twenty-nine million, six hundred twenty-eight thousand, seven hundred sixty-seven".

Divisors: 1 7 31 217 461 961 3227 6727 14291 100037 212521 443021 1487647 3101147 6588151 46117057 204232681 1429628767