Search a number
-
+
320327489363712 = 2836728612175907
BaseRepresentation
bin100100011010101100000111…
…0001101110001111100000000
31120000012000020111102111002220
41020311120032031301330000
5313441221144234114322
63053140230032011040
7124320616542255015
oct11065301615617400
91500160214374086
10320327489363712
1193080141909666
122bb15744090a80
13109979a26c7a2c
145915d0ca2170c
1527076be3a055c
hex123560e371f00

320327489363712 has 144 divisors (see below), whose sum is σ = 865565549154432. Its totient is φ = 105145348239360.

The previous prime is 320327489363663. The next prime is 320327489363737. The reversal of 320327489363712 is 217363984723023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146127663 + ... + 148303569.

It is an arithmetic number, because the mean of its divisors is an integer number (6010871869128).

Almost surely, 2320327489363712 is an apocalyptic number.

320327489363712 is a gapful number since it is divisible by the number (32) 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 320327489363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432782774577216).

320327489363712 is an abundant number, since it is smaller than the sum of its proper divisors (545238059790720).

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

320327489363712 is a wasteful number, since it uses less digits than its factorization.

320327489363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178854 (or 2178840 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 320327489363712 in words is "three hundred twenty trillion, three hundred twenty-seven billion, four hundred eighty-nine million, three hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 2861 3216 4288 5722 6432 8576 8583 11444 12864 17152 17166 22888 25728 34332 45776 51456 68664 91552 137328 183104 191687 274656 366208 383374 549312 575061 732416 766748 1098624 1150122 1533496 2175907 2197248 2300244 3066992 4351814 4600488 6133984 6527721 8703628 9200976 12267968 13055442 17407256 18401952 24535936 26110884 34814512 36803904 49071872 52221768 69629024 73607808 104443536 139258048 145785769 147215616 208887072 278516096 291571538 417774144 437357307 557032192 583143076 835548288 874714614 1166286152 1671096576 1749429228 2332572304 3498858456 4665144608 6225269927 6997716912 9330289216 12450539854 13995433824 18660578432 18675809781 24901079708 27990867648 37321156864 37351619562 49802159416 55981735296 74703239124 99604318832 111963470592 149406478248 199208637664 298812956496 398417275328 417093085109 597625912992 796834550656 834186170218 1195251825984 1251279255327 1593669101312 1668372340436 2390503651968 2502558510654 3336744680872 4781007303936 5005117021308 6673489361744 10010234042616 13346978723488 20020468085232 26693957446976 40040936170464 53387914893952 80081872340928 106775829787904 160163744681856 320327489363712