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13058448084 = 223211711094261
BaseRepresentation
bin11000010100101100…
…00001101011010100
31020201001202220011100
430022112001223110
5203220430314314
65555435510100
7641412656133
oct141226015324
936631686140
1013058448084
1155a1176360
1226452b8330
131301527476
148bc42191a
15516649c09
hex30a581ad4

13058448084 has 144 divisors (see below), whose sum is σ = 36860503680. Its totient is φ = 3864672000.

The previous prime is 13058448083. The next prime is 13058448101. The reversal of 13058448084 is 48084485031.

13058448084 is a `hidden beast` number, since 13 + 0 + 5 + 84 + 480 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13058448083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062514 + ... + 3066774.

It is an arithmetic number, because the mean of its divisors is an integer number (255975720).

Almost surely, 213058448084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058448084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430251840).

13058448084 is an abundant number, since it is smaller than the sum of its proper divisors (23802055596).

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

13058448084 is a wasteful number, since it uses less digits than its factorization.

13058448084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 13058448084 in words is "thirteen billion, fifty-eight million, four hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 109 132 142 198 213 218 284 327 396 426 436 639 654 781 852 981 1199 1278 1308 1562 1962 2343 2398 2556 3124 3597 3924 4261 4686 4796 7029 7194 7739 8522 9372 10791 12783 14058 14388 15478 17044 21582 23217 25566 28116 30956 38349 43164 46434 46871 51132 69651 76698 85129 92868 93742 139302 140613 153396 170258 187484 255387 278604 281226 302531 340516 421839 464449 510774 562452 605062 766161 843678 907593 928898 1021548 1210124 1393347 1532322 1687356 1815186 1857796 2722779 2786694 3064644 3327841 3630372 4180041 5108939 5445558 5573388 6655682 8360082 9983523 10217878 10891116 13311364 15326817 16720164 19967046 20435756 29950569 30653634 32975879 39934092 45980451 59901138 61307268 65951758 91960902 98927637 119802276 131903516 183921804 197855274 296782911 362734669 395710548 593565822 725469338 1088204007 1187131644 1450938676 2176408014 3264612021 4352816028 6529224042 13058448084