Search a number
-
+
18344309952 = 2631723324121
BaseRepresentation
bin10001000101011001…
…111111010011000000
31202100110001111111010
4101011121333103000
5300032120404302
612232142120520
71216406030133
oct210531772300
952313044433
1018344309952
117863980641
12367b580140
131964673897
14c6045621a
1572571b16c
hex44567f4c0

18344309952 has 112 divisors (see below), whose sum is σ = 51613746912. Its totient is φ = 5730140160.

The previous prime is 18344309897. The next prime is 18344309959. The reversal of 18344309952 is 25990344381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18344309959) 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, 748452 + ... + 772572.

It is an arithmetic number, because the mean of its divisors is an integer number (460837026).

Almost surely, 218344309952 is an apocalyptic number.

18344309952 is a gapful number since it is divisible by the number (12) 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 18344309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806873456).

18344309952 is an abundant number, since it is smaller than the sum of its proper divisors (33269436960).

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

18344309952 is a wasteful number, since it uses less digits than its factorization.

18344309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24386 (or 24376 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 18344309952 in words is "eighteen billion, three hundred forty-four million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 233 272 408 466 544 699 816 932 1088 1398 1632 1864 2796 3264 3728 3961 5592 7456 7922 11184 11883 14912 15844 22368 23766 24121 31688 44736 47532 48242 63376 72363 95064 96484 126752 144726 190128 192968 253504 289452 380256 385936 410057 578904 760512 771872 820114 1157808 1230171 1543744 1640228 2315616 2460342 3280456 4631232 4920684 5620193 6560912 9841368 11240386 13121824 16860579 19682736 22480772 26243648 33721158 39365472 44961544 67442316 78730944 89923088 95543281 134884632 179846176 191086562 269769264 286629843 359692352 382173124 539538528 573259686 764346248 1079077056 1146519372 1528692496 2293038744 3057384992 4586077488 6114769984 9172154976 18344309952