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104316726361 = 1928921912
BaseRepresentation
bin110000100100111000…
…0101110110001011001
3100222021000022202120211
41201021300232301121
53202120040220421
6115531125251121
710352031354361
oct1411160566131
9328230282524
10104316726361
1140271088551
1218273563aa1
139ab5c372b3
14509849d9a1
152aa81c49e1
hex1849c2ec59

104316726361 has 27 divisors (see below), whose sum is σ = 111933000543. Its totient is φ = 97204361760.

The previous prime is 104316726347. The next prime is 104316726373. The reversal of 104316726361 is 163627613401.

The square root of 104316726361 is 322981.

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

It can be written as a sum of positive squares in only one way, i.e., 20031023961 + 84285702400 = 141531^2 + 290320^2 .

It is not a de Polignac number, because 104316726361 - 25 = 104316726329 is a prime.

It is a super-3 number, since 3×1043167263613 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104316726341) 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 26 ways as a sum of consecutive naturals, for example, 546160776 + ... + 546160966.

Almost surely, 2104316726361 is an apocalyptic number.

104316726361 is the 322981-st square number.

104316726361 is the 161491-st centered octagonal number.

It is an amenable number.

104316726361 is a deficient number, since it is larger than the sum of its proper divisors (7616274182).

104316726361 is an frugal number, since it uses more digits than its factorization.

104316726361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 104316726361 in words is "one hundred four billion, three hundred sixteen million, seven hundred twenty-six thousand, three hundred sixty-one".

Divisors: 1 19 89 191 361 1691 3629 7921 16999 32129 36481 68951 150499 322981 693139 1512911 2859481 3246809 6136639 13169641 28745309 61689371 288966001 546160871 1172098049 5490354019 104316726361