Search a number
-
+
168007670264 = 2373498596381
BaseRepresentation
bin1001110001111000001…
…0011001100111111000
3121001122202001221112002
42130132002121213320
510223034430422024
6205103123240132
715065246430440
oct2343602314770
9531582057462
10168007670264
1165284a4a375
1228689519048
1312ac6267055
1481bb217120
1545849a06ae
hex271e0999f8

168007670264 has 32 divisors (see below), whose sum is σ = 361048044000. Its totient is φ = 71796965760.

The previous prime is 168007670251. The next prime is 168007670269. The reversal of 168007670264 is 462076700861.

It is a happy number.

168007670264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168007670269) 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 7 ways as a sum of consecutive naturals, for example, 4278647 + ... + 4317734.

It is an arithmetic number, because the mean of its divisors is an integer number (11282751375).

Almost surely, 2168007670264 is an apocalyptic number.

168007670264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168007670264 is an abundant number, since it is smaller than the sum of its proper divisors (193040373736).

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

168007670264 is a wasteful number, since it uses less digits than its factorization.

168007670264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596743 (or 8596739 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 168007670264 in words is "one hundred sixty-eight billion, seven million, six hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 349 698 1396 2443 2792 4886 9772 19544 8596381 17192762 34385524 60174667 68771048 120349334 240698668 481397336 3000136969 6000273938 12000547876 21000958783 24001095752 42001917566 84003835132 168007670264