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12312548608 = 28373134153
BaseRepresentation
bin10110111011110001…
…01001010100000000
31011210002020021102211
423131320221110000
5200204003023413
65353432351504
7614054636113
oct133570512400
934702207384
1012312548608
115249127008
122477545594
131212b37229
1484b33a57a
154c0e0c83d
hex2dde29500

12312548608 has 72 divisors (see below), whose sum is σ = 25327984808. Its totient is φ = 5969313792.

The previous prime is 12312548557. The next prime is 12312548629. The reversal of 12312548608 is 80684521321.

It can be written as a sum of positive squares in 4 ways, for example, as 60715264 + 12251833344 = 7792^2 + 110688^2 .

It is a congruent number.

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, 2962660 + ... + 2966812.

Almost surely, 212312548608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312548608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12663992404).

12312548608 is an abundant number, since it is smaller than the sum of its proper divisors (13015436200).

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

12312548608 is an equidigital number, since it uses as much as digits as its factorization.

12312548608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 12312548608 in words is "twelve billion, three hundred twelve million, five hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 313 592 626 1184 1252 2368 2504 4153 4736 5008 8306 9472 10016 11581 16612 20032 23162 33224 40064 46324 66448 80128 92648 132896 153661 185296 265792 307322 370592 531584 614644 741184 1063168 1229288 1299889 1482368 2458576 2599778 2964736 4917152 5199556 9834304 10399112 19668608 20798224 39337216 41596448 48095893 83192896 96191786 166385792 192383572 332771584 384767144 769534288 1539068576 3078137152 6156274304 12312548608