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12336923136 = 29319795351
BaseRepresentation
bin10110111110101011…
…01000001000000000
31011211210002122000010
423133111220020000
5200231223020021
65400103024520
7614502054636
oct133725501000
934753078003
1012336923136
115260964a4a
12248373b140
131217bbc825
14850683356
154c3124976
hex2df568200

12336923136 has 160 divisors (see below), whose sum is σ = 35040614400. Its totient is φ = 3845836800.

The previous prime is 12336923063. The next prime is 12336923161. The reversal of 12336923136 is 63132963321.

It is a junction number, because it is equal to n+sod(n) for n = 12336923094 and 12336923103.

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, 2302861 + ... + 2308211.

It is an arithmetic number, because the mean of its divisors is an integer number (219003840).

Almost surely, 212336923136 is an apocalyptic number.

12336923136 is a gapful number since it is divisible by the number (16) 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 12336923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520307200).

12336923136 is an abundant number, since it is smaller than the sum of its proper divisors (22703691264).

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

12336923136 is an equidigital number, since it uses as much as digits as its factorization.

12336923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5454 counting only the distinct ones).

The product of its digits is 104976, while the sum is 39.

The spelling of 12336923136 in words is "twelve billion, three hundred thirty-six million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 512 608 632 768 912 948 1216 1264 1501 1536 1824 1896 2432 2528 3002 3648 3792 4503 4864 5056 5351 6004 7296 7584 9006 9728 10112 10702 12008 14592 15168 16053 18012 20224 21404 24016 29184 30336 32106 36024 40448 42808 48032 60672 64212 72048 85616 96064 101669 121344 128424 144096 171232 192128 203338 256848 288192 305007 342464 384256 406676 422729 513696 576384 610014 684928 768512 813352 845458 1027392 1152768 1220028 1268187 1369856 1626704 1690916 2054784 2305536 2440056 2536374 2739712 3253408 3381832 4109568 4880112 5072748 6506816 6763664 8031851 8219136 9760224 10145496 13013632 13527328 16063702 19520448 20290992 24095553 26027264 27054656 32127404 39040896 40581984 48191106 52054528 54109312 64254808 78081792 81163968 96382212 108218624 128509616 156163584 162327936 192764424 216437248 257019232 324655872 385528848 514038464 649311744 771057696 1028076928 1542115392 2056153856 3084230784 4112307712 6168461568 12336923136