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13826467396 = 22723722272
BaseRepresentation
bin11001110000001111…
…10010011001000100
31022200120221022121001
430320013302121010
5211304033424041
610203553103044
7666430014400
oct147007623104
938616838531
1013826467396
115955753665
12281a557a84
1313c4690971
14952424100
1555dca6131
hex3381f2644

13826467396 has 81 divisors (see below), whose sum is σ = 29056017501. Its totient is φ = 5740078176.

The previous prime is 13826467393. The next prime is 13826467427. The reversal of 13826467396 is 69376462831.

The square root of 13826467396 is 117586.

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., 12372112900 + 1454354496 = 111230^2 + 38136^2 .

It is not an unprimeable number, because it can be changed into a prime (13826467393) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60909435 + ... + 60909661.

Almost surely, 213826467396 is an apocalyptic number.

13826467396 is the 117586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826467396

13826467396 is an abundant number, since it is smaller than the sum of its proper divisors (15229550105).

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

13826467396 is an equidigital number, since it uses as much as digits as its factorization.

13826467396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 55.

The spelling of 13826467396 in words is "thirteen billion, eight hundred twenty-six million, four hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 227 259 454 518 908 1036 1369 1589 1813 2738 3178 3626 5476 6356 7252 8399 9583 11123 16798 19166 22246 33596 38332 44492 51529 58793 67081 103058 117586 134162 206116 235172 268324 310763 360703 411551 621526 721406 823102 1243052 1442812 1646204 1906573 2175341 2524921 3813146 4350682 5049842 7626292 8701364 10099684 13346011 15227387 26692022 30454774 53384044 60909548 70543201 93422077 141086402 186844154 282172804 373688308 493802407 987604814 1975209628 3456616849 6913233698 13826467396