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13212409408 = 2611411672741
BaseRepresentation
bin11000100111000010…
…10101111001000000
31021002210110221101121
430103201111321000
5204024334100113
610023015442024
7645262425022
oct142341257100
937083427347
1013212409408
115670073820
122688986314
1313273b2443
148d4a5c012
15524e0ce8d
hex313855e40

13212409408 has 112 divisors (see below), whose sum is σ = 29485669248. Its totient is φ = 5821952000.

The previous prime is 13212409403. The next prime is 13212409417. The reversal of 13212409408 is 80490421231.

It is not an unprimeable number, because it can be changed into a prime (13212409403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4818918 + ... + 4821658.

It is an arithmetic number, because the mean of its divisors is an integer number (263264904).

Almost surely, 213212409408 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 13212409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742834624).

13212409408 is an abundant number, since it is smaller than the sum of its proper divisors (16273259840).

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

13212409408 is a wasteful number, since it uses less digits than its factorization.

13212409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 13212409408 in words is "thirteen billion, two hundred twelve million, four hundred nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 167 176 328 334 352 451 656 668 704 902 1312 1336 1804 1837 2624 2672 2741 3608 3674 5344 5482 6847 7216 7348 10688 10964 13694 14432 14696 21928 27388 28864 29392 30151 43856 54776 58784 60302 75317 87712 109552 112381 117568 120604 150634 175424 219104 224762 241208 301268 438208 449524 457747 482416 602536 899048 915494 964832 1205072 1236191 1798096 1830988 1929664 2410144 2472382 3596192 3661976 4820288 4944764 5035217 7192384 7323952 9889528 10070434 14647904 18767627 19779056 20140868 29295808 37535254 39558112 40281736 75070508 79116224 80563472 150141016 161126944 206443897 300282032 322253888 412887794 600564064 825775588 1201128128 1651551176 3303102352 6606204704 13212409408