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13565452068 = 223273110091721
BaseRepresentation
bin11001010001001000…
…00101111100100100
31022000101210100212200
430220210011330210
5210240223431233
610122030414500
7660110303640
oct145044057444
938011710780
1013565452068
115831386a13
122767061430
13138259251c
149298bbc20
15545de8313
hex328905f24

13565452068 has 144 divisors (see below), whose sum is σ = 40516869120. Its totient is φ = 3744921600.

The previous prime is 13565452067. The next prime is 13565452091. The reversal of 13565452068 is 86025456531.

13565452068 is a `hidden beast` number, since 1 + 3 + 5 + 65 + 4 + 520 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13565452067) 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, 7881448 + ... + 7883168.

Almost surely, 213565452068 is an apocalyptic number.

13565452068 is a gapful number since it is divisible by the number (18) 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 13565452068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258434560).

13565452068 is an abundant number, since it is smaller than the sum of its proper divisors (26951417052).

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

13565452068 is a wasteful number, since it uses less digits than its factorization.

13565452068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 13565452068 in words is "thirteen billion, five hundred sixty-five million, four hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1009 1116 1302 1721 1953 2018 2604 3027 3442 3906 4036 5163 6054 6884 7063 7812 9081 10326 12047 12108 14126 15489 18162 20652 21189 24094 28252 30978 31279 36141 36324 42378 48188 53351 61956 62558 63567 72282 84756 93837 106702 108423 125116 127134 144564 160053 187674 213404 216846 218953 254268 281511 320106 373457 375348 433692 437906 480159 563022 640212 656859 746914 875812 960318 1120371 1126044 1313718 1493828 1736489 1920636 1970577 2240742 2627436 3361113 3472978 3941154 4481484 5209467 6722226 6945956 7882308 10418934 12155423 13444452 15628401 20837868 24310846 31256802 36466269 48621692 53831159 62513604 72932538 107662318 109398807 145865076 161493477 215324636 218797614 322986954 376818113 437595228 484480431 645973908 753636226 968960862 1130454339 1507272452 1937921724 2260908678 3391363017 4521817356 6782726034 13565452068