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12528648192 = 218389179
BaseRepresentation
bin10111010101100010…
…00000000000000000
31012100010212021100010
423222301000000000
5201124313220232
65431112224520
7622320516054
oct135261000000
935303767303
1012528648192
11534a105905
12251799b140
13124883a4c8
1486bd0dc64
154d4d970cc
hex2eac40000

12528648192 has 152 divisors (see below), whose sum is σ = 33973797600. Its totient is φ = 4106223616.

The previous prime is 12528648131. The next prime is 12528648211. The reversal of 12528648192 is 29184682521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69992359 + ... + 69992537.

Almost surely, 212528648192 is an apocalyptic number.

12528648192 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 12528648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986898800).

12528648192 is an abundant number, since it is smaller than the sum of its proper divisors (21445149408).

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

12528648192 is an frugal number, since it uses more digits than its factorization.

12528648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 273 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 12528648192 in words is "twelve billion, five hundred twenty-eight million, six hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 179 192 256 267 356 358 384 512 534 537 712 716 768 1024 1068 1074 1424 1432 1536 2048 2136 2148 2848 2864 3072 4096 4272 4296 5696 5728 6144 8192 8544 8592 11392 11456 12288 15931 16384 17088 17184 22784 22912 24576 31862 32768 34176 34368 45568 45824 47793 49152 63724 65536 68352 68736 91136 91648 95586 98304 127448 131072 136704 137472 182272 183296 191172 196608 254896 262144 273408 274944 364544 366592 382344 393216 509792 546816 549888 729088 733184 764688 786432 1019584 1093632 1099776 1458176 1466368 1529376 2039168 2187264 2199552 2916352 2932736 3058752 4078336 4374528 4399104 5832704 5865472 6117504 8156672 8749056 8798208 11665408 11730944 12235008 16313344 17498112 17596416 23330816 23461888 24470016 32626688 34996224 35192832 46923776 48940032 65253376 69992448 70385664 97880064 130506752 140771328 195760128 261013504 391520256 522027008 783040512 1044054016 1566081024 2088108032 3132162048 4176216064 6264324096 12528648192