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419319707401 = 72925072
BaseRepresentation
bin1100001101000010110…
…01101111011100001001
31111002100010000012020101
412012201121233130021
523332231321114101
6520344404325401
742203063463400
oct6064131573411
91432303005211
10419319707401
11151918052531
12693253a3861
13307070b6a7a
141641bda0637
15ad92a86401
hex61a166f709

419319707401 has 9 divisors (see below), whose sum is σ = 487785340749. Its totient is φ = 359413006764.

The previous prime is 419319707399. The next prime is 419319707419. The reversal of 419319707401 is 104707913914.

The square root of 419319707401 is 647549.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 419319707401 - 21 = 419319707399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (419319707201) 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 8 ways as a sum of consecutive naturals, for example, 4486590 + ... + 4579096.

Almost surely, 2419319707401 is an apocalyptic number.

419319707401 is the 647549-th square number.

419319707401 is the 323775-th centered octagonal number.

It is an amenable number.

419319707401 is a deficient number, since it is larger than the sum of its proper divisors (68465633348).

419319707401 is an frugal number, since it uses more digits than its factorization.

419319707401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185028 (or 92514 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 419319707401 in words is "four hundred nineteen billion, three hundred nineteen million, seven hundred seven thousand, four hundred one".

Divisors: 1 7 49 92507 647549 4532843 8557545049 59902815343 419319707401