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126215458432 = 2775325110589
BaseRepresentation
bin111010110001100000…
…1110000111010000000
3110001210011122121120121
41311203001300322000
54031442124132212
6133552123150024
712055510460320
oct1654301607200
9401704577517
10126215458432
1149589377028
1220565375314
13bb95ac061b
1461749dd280
15343a99cd07
hex1d63070e80

126215458432 has 128 divisors (see below), whose sum is σ = 293981788800. Its totient is φ = 52855296000.

The previous prime is 126215458399. The next prime is 126215458433. The reversal of 126215458432 is 234854512621.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (126215458433) 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, 11914194 + ... + 11924782.

It is an arithmetic number, because the mean of its divisors is an integer number (2296732725).

Almost surely, 2126215458432 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 126215458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990894400).

126215458432 is an abundant number, since it is smaller than the sum of its proper divisors (167766330368).

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

126215458432 is a wasteful number, since it uses less digits than its factorization.

126215458432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10914 (or 10902 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The spelling of 126215458432 in words is "one hundred twenty-six billion, two hundred fifteen million, four hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 251 371 424 448 502 742 848 896 1004 1484 1696 1757 2008 2968 3392 3514 4016 5936 6784 7028 8032 10589 11872 13303 14056 16064 21178 23744 26606 28112 32128 42356 47488 53212 56224 74123 84712 93121 106424 112448 148246 169424 186242 212848 224896 296492 338848 372484 425696 561217 592984 677696 744968 851392 1122434 1185968 1355392 1489936 1702784 2244868 2371936 2657839 2979872 3928519 4489736 4743872 5315678 5959744 7857038 8979472 9487744 10631356 11919488 15714076 17958944 18604873 21262712 31428152 35917888 37209746 42525424 62856304 71835776 74419492 85050848 125712608 140865467 148838984 170101696 251425216 281730934 297677968 340203392 502850432 563461868 595355936 986058269 1126923736 1190711872 1972116538 2253847472 2381423744 3944233076 4507694944 7888466152 9015389888 15776932304 18030779776 31553864608 63107729216 126215458432