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13333300092 = 22327471995657
BaseRepresentation
bin11000110101011101…
…00000001101111100
31021102012221211020100
430122232200031330
5204301311100332
610043014521100
7651261116010
oct143256401574
937365854210
1013333300092
115722333782
122701366190
13134645b8a8
14906b2a540
1553083c67c
hex31aba037c

13333300092 has 144 divisors (see below), whose sum is σ = 39542630400. Its totient is φ = 3709069056.

The previous prime is 13333300091. The next prime is 13333300133. The reversal of 13333300092 is 29000333331.

13333300092 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 (13333300091) 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 47 ways as a sum of consecutive naturals, for example, 2354128 + ... + 2359784.

It is an arithmetic number, because the mean of its divisors is an integer number (274601600).

Almost surely, 213333300092 is an apocalyptic number.

13333300092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333300092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771315200).

13333300092 is an abundant number, since it is smaller than the sum of its proper divisors (26209330308).

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

13333300092 is a wasteful number, since it uses less digits than its factorization.

13333300092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The spelling of 13333300092 in words is "thirteen billion, three hundred thirty-three million, three hundred thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 199 252 282 329 398 423 564 597 658 796 846 987 1194 1316 1393 1692 1791 1974 2388 2786 2961 3582 3948 4179 5572 5657 5922 7164 8358 9353 11314 11844 12537 16716 16971 18706 22628 25074 28059 33942 37412 39599 50148 50913 56118 65471 67884 79198 84177 101826 112236 118797 130942 158396 168354 196413 203652 237594 261884 265879 336708 356391 392826 475188 531758 589239 712782 785652 797637 1063516 1125743 1178478 1425564 1595274 1861153 2251486 2356956 2392911 3190548 3377229 3722306 4502972 4785822 5583459 6754458 7444612 7880201 9571644 10131687 11166918 13508916 15760402 16750377 20263374 22333836 23640603 31520804 33500754 40526748 47281206 52909921 67001508 70921809 94562412 105819842 141843618 158729763 211639684 283687236 317459526 370369447 476189289 634919052 740738894 952378578 1111108341 1481477788 1904757156 2222216682 3333325023 4444433364 6666650046 13333300092