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18534207997368 = 23327198911848787
BaseRepresentation
bin1000011011011010101001…
…11000100100010110111000
32102121212000211012200111200
410031231110320210112320
54412131024221403433
6103230255252254200
73622023644412030
oct415552470442670
972555024180450
1018534207997368
1159a634a257458
1220b4078911360
13a459cacab3bb
144810bbc548c0
152221b5c74613
hex10db54e245b8

18534207997368 has 96 divisors (see below), whose sum is σ = 57370701797760. Its totient is φ = 5295218909760.

The previous prime is 18534207997363. The next prime is 18534207997391. The reversal of 18534207997368 is 86379970243581.

18534207997368 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 420 + 79 + 9 + 73 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18534207997296 and 18534207997305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18534207997363) 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, 9100671 + ... + 10949457.

It is an arithmetic number, because the mean of its divisors is an integer number (597611477060).

It is a 1-persistent number, because it is pandigital, but 2⋅18534207997368 = 37068415994736 is not.

Almost surely, 218534207997368 is an apocalyptic number.

18534207997368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18534207997368 is an abundant number, since it is smaller than the sum of its proper divisors (38836493800392).

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

18534207997368 is a wasteful number, since it uses less digits than its factorization.

18534207997368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868697 (or 1868690 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 18534207997368 in words is "eighteen trillion, five hundred thirty-four billion, two hundred seven million, nine hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 19891 39782 59673 79564 119346 139237 159128 179019 238692 278474 358038 417711 477384 556948 716076 835422 1113896 1253133 1432152 1670844 1848787 2506266 3341688 3697574 5012532 5546361 7395148 10025064 11092722 12941509 14790296 16639083 22185444 25883018 33278166 38824527 44370888 51766036 66556332 77649054 103532072 116473581 133112664 155298108 232947162 310596216 465894324 931788648 36774222217 73548444434 110322666651 147096888868 220645333302 257419555519 294193777736 330967999953 441290666604 514839111038 661935999906 772258666557 882581333208 1029678222076 1323871999812 1544517333114 2059356444152 2316775999671 2647743999624 3089034666228 4633551999342 6178069332456 9267103998684 18534207997368