Search a number
-
+
18680220843264 = 283317158975191
BaseRepresentation
bin1000011111101010100111…
…11011010111110100000000
32110010210220201010210012000
410033311103323113310000
54422024043013441024
6103421324110304000
73635413200211221
oct417652373276400
973123821123160
1018680220843264
115a52267745722
1221184281b8000
13a566ca4b6176
144881adc77248
15225dae7b9cc9
hex10fd53ed7d00

18680220843264 has 144 divisors (see below), whose sum is σ = 58490152640640. Its totient is φ = 5860461404160.

The previous prime is 18680220843259. The next prime is 18680220843269. The reversal of 18680220843264 is 46234802208681.

18680220843264 is a `hidden beast` number, since 1 + 8 + 6 + 80 + 220 + 84 + 3 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (18680220843259) and next prime (18680220843269).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×186802208432642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18680220843264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18680220843269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79370092 + ... + 79605099.

It is an arithmetic number, because the mean of its divisors is an integer number (406181615560).

Almost surely, 218680220843264 is an apocalyptic number.

It is an amenable number.

18680220843264 is an abundant number, since it is smaller than the sum of its proper divisors (39809931797376).

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

18680220843264 is a wasteful number, since it uses less digits than its factorization.

18680220843264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158975233 (or 158975213 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 18680220843264 in words is "eighteen trillion, six hundred eighty billion, two hundred twenty million, eight hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 29376 39168 58752 117504 158975191 317950382 476925573 635900764 953851146 1271801528 1430776719 1907702292 2543603056 2702578247 2861553438 3815404584 4292330157 5087206112 5405156494 5723106876 7630809168 8107734741 8584660314 10174412224 10810312988 11446213752 15261618336 16215469482 17169320628 20348824448 21620625976 22892427504 24323204223 30523236672 32430938964 34338641256 40697648896 43241251952 45784855008 48646408446 61046473344 64861877928 68677282512 72969612669 86482503904 91569710016 97292816892 122092946688 129723755856 137354565024 145939225338 172965007808 183139420032 194585633784 259447511712 274709130048 291878450676 345930015616 366278840064 389171267568 518895023424 549418260096 583756901352 691860031232 778342535136 1037790046848 1098836520192 1167513802704 1556685070272 2075580093696 2335027605408 3113370140544 4670055210816 6226740281088 9340110421632 18680220843264