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319475857428 = 223471319836871
BaseRepresentation
bin1001010011000100011…
…11101011100000010100
31010112121211012002120000
410221202033223200110
520213241304414203
6402433140211300
732036623660650
oct4514217534024
91115554162500
10319475857428
1111354187a242
1251abb999b30
1324184a4a5c0
1411669989a60
15849c3e34a3
hex4a623eb814

319475857428 has 480 divisors, whose sum is σ = 1095201085440. Its totient is φ = 78849573120.

The previous prime is 319475857423. The next prime is 319475857507. The reversal of 319475857428 is 824758574913.

319475857428 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 7 + 58 + 574 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319475857423) 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 159 ways as a sum of consecutive naturals, for example, 46492833 + ... + 46499703.

It is an arithmetic number, because the mean of its divisors is an integer number (2281668928).

Almost surely, 2319475857428 is an apocalyptic number.

319475857428 is a gapful number since it is divisible by the number (38) 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 319475857428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547600542720).

319475857428 is an abundant number, since it is smaller than the sum of its proper divisors (775725228012).

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

319475857428 is a wasteful number, since it uses less digits than its factorization.

319475857428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6998 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 319475857428 in words is "three hundred nineteen billion, four hundred seventy-five million, eight hundred fifty-seven thousand, four hundred twenty-eight".