Search a number
-
+
13089380216 = 23112412711217
BaseRepresentation
bin11000011000011000…
…00001011101111000
31020210012222102001212
430030030001131320
5203301340131331
610002502502252
7642236616233
oct141414013570
936705872055
1013089380216
115607683100
122653734988
131307a677c3
148c259441a
15519209d2b
hex30c301778

13089380216 has 96 divisors (see below), whose sum is σ = 27759291840. Its totient is φ = 5778432000.

The previous prime is 13089380189. The next prime is 13089380219. The reversal of 13089380216 is 61208398031.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089380219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10754840 + ... + 10756056.

It is an arithmetic number, because the mean of its divisors is an integer number (289159290).

Almost surely, 213089380216 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 13089380216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879645920).

13089380216 is an abundant number, since it is smaller than the sum of its proper divisors (14669911624).

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

13089380216 is a wasteful number, since it uses less digits than its factorization.

13089380216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 13089380216 in words is "thirteen billion, eighty-nine million, three hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 271 328 451 484 542 902 968 1084 1217 1804 2168 2434 2981 3608 4868 4961 5962 9736 9922 11111 11924 13387 19844 22222 23848 26774 32791 39688 44444 49897 53548 65582 88888 99794 107096 122221 131164 147257 199588 244442 262328 294514 329807 399176 488884 548867 589028 659614 977768 1097734 1178056 1319228 1344431 2195468 2638456 2688862 3627877 4390936 5377724 6037537 7255754 10755448 12075074 13522087 14511508 24150148 27044174 29023016 39906647 48300296 54088348 79813294 108176696 148742957 159626588 297485914 319253176 594971828 1189943656 1636172527 3272345054 6544690108 13089380216