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18348642322956 = 223211137419807187
BaseRepresentation
bin1000010110000001000000…
…10011101100101000001100
32101222010001102122201021200
410023000200103230220030
54401111004413313311
6103005125552025500
73602434314250641
oct413004023545014
971863042581250
1018348642322956
115934685274760
12208410b232290
13a3136726a4aa
14476116bc7dc8
1521c454b27556
hex10b0204eca0c

18348642322956 has 144 divisors (see below), whose sum is σ = 51088801196160. Its totient is φ = 5506429167360.

The previous prime is 18348642322949. The next prime is 18348642322957. The reversal of 18348642322956 is 65922324684381.

18348642322956 is a `hidden beast` number, since 1 + 8 + 3 + 486 + 42 + 3 + 22 + 95 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18348642322893 and 18348642322902.

It is not an unprimeable number, because it can be changed into a prime (18348642322957) 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, 22327995 + ... + 23135181.

It is an arithmetic number, because the mean of its divisors is an integer number (354783341640).

Almost surely, 218348642322956 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 18348642322956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544400598080).

18348642322956 is an abundant number, since it is smaller than the sum of its proper divisors (32740158873204).

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

18348642322956 is a wasteful number, since it uses less digits than its factorization.

18348642322956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807764 (or 807759 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 18348642322956 in words is "eighteen trillion, three hundred forty-eight billion, six hundred forty-two million, three hundred twenty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 419 548 822 838 1233 1257 1507 1644 1676 2466 2514 3014 3771 4521 4609 4932 5028 6028 7542 9042 9218 13563 13827 15084 18084 18436 27126 27654 41481 54252 55308 57403 82962 114806 165924 172209 229612 344418 516627 631433 688836 807187 1033254 1262866 1614374 1894299 2066508 2421561 2525732 3228748 3788598 4843122 5682897 7264683 7577196 8879057 9686244 11365794 14529366 17758114 22731588 26637171 29058732 35516228 53274342 79911513 106548684 110584619 159823026 221169238 319646052 331753857 338211353 442338476 663507714 676422706 995261571 1014634059 1216430809 1327015428 1352845412 1990523142 2029268118 2432861618 3043902177 3649292427 3720324883 3981046284 4058536236 4865723236 6087804354 7298584854 7440649766 10947877281 11160974649 12175608708 14597169708 14881299532 21895754562 22321949298 33482923947 43791509124 44643898596 46334955361 66965847894 92669910722 133931695788 139004866083 185339821444 278009732166 417014598249 509684508971 556019464332 834029196498 1019369017942 1529053526913 1668058392996 2038738035884 3058107053826 4587160580739 6116214107652 9174321161478 18348642322956