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12964305552 = 24311179229599
BaseRepresentation
bin11000001001011101…
…11001101010010000
31020110111121221212220
430010232321222100
5203022330234202
65542234021040
7636160531122
oct140456715220
936414557786
1012964305552
115553015710
122619877780
1312b7b84b23
148adb17212
1550d250abc
hex304bb9a90

12964305552 has 160 divisors (see below), whose sum is σ = 36961920000. Its totient is φ = 3883077120.

The previous prime is 12964305491. The next prime is 12964305581. The reversal of 12964305552 is 25550346921.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21642949 + ... + 21643547.

It is an arithmetic number, because the mean of its divisors is an integer number (231012000).

Almost surely, 212964305552 is an apocalyptic number.

12964305552 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 12964305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960000).

12964305552 is an abundant number, since it is smaller than the sum of its proper divisors (23997614448).

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

12964305552 is a wasteful number, since it uses less digits than its factorization.

12964305552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 12964305552 in words is "twelve billion, nine hundred sixty-four million, three hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 179 229 264 358 458 528 537 599 687 716 916 1074 1198 1374 1432 1797 1832 1969 2148 2396 2519 2748 2864 3594 3664 3938 4296 4792 5038 5496 5907 6589 7188 7557 7876 8592 9584 10076 10992 11814 13178 14376 15114 15752 19767 20152 23628 26356 28752 30228 31504 39534 40304 40991 47256 52712 60456 79068 81982 94512 105424 107221 120912 122973 137171 158136 163964 214442 245946 274342 316272 321663 327928 411513 428884 450901 491892 548684 643326 655856 823026 857768 901802 983784 1097368 1179431 1286652 1352703 1508881 1646052 1715536 1803604 1967568 2194736 2358862 2573304 2705406 3017762 3292104 3538293 3607208 4526643 4717724 5146608 5410812 6035524 6584208 7076586 7214416 9053286 9435448 10821624 12071048 14153172 18106572 18870896 21643248 24142096 24553609 28306344 36213144 49107218 56612688 72426288 73660827 98214436 147321654 196428872 270089699 294643308 392857744 540179398 589286616 810269097 1080358796 1178573232 1620538194 2160717592 3241076388 4321435184 6482152776 12964305552