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126871807248 = 2434966110133
BaseRepresentation
bin111011000101000100…
…1100010010100010000
3110010110220200120220000
41312022021202110100
54034313140312443
6134141211050000
712111000365604
oct1661211422420
9403426616800
10126871807248
114989591166a
1220709140900
13bc6ba882c4
1461d7c53504
1534783eb8d3
hex1d8a262510

126871807248 has 100 divisors (see below), whose sum is σ = 367278069708. Its totient is φ = 42282051840.

The previous prime is 126871807247. The next prime is 126871807277. The reversal of 126871807248 is 842708178621.

It can be written as a sum of positive squares in 2 ways, for example, as 36034669584 + 90837137664 = 189828^2 + 301392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126871807194 and 126871807203.

It is not an unprimeable number, because it can be changed into a prime (126871807247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12515590 + ... + 12525722.

Almost surely, 2126871807248 is an apocalyptic number.

126871807248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126871807248 is an abundant number, since it is smaller than the sum of its proper divisors (240406262460).

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

126871807248 is a wasteful number, since it uses less digits than its factorization.

126871807248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19814 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 126871807248 in words is "one hundred twenty-six billion, eight hundred seventy-one million, eight hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9661 10133 19322 20266 28983 30399 38644 40532 57966 60798 77288 81064 86949 91197 115932 121596 154576 162128 173898 182394 231864 243192 260847 273591 347796 364788 463728 486384 521694 547182 695592 729576 782541 820773 1043388 1094364 1391184 1459152 1565082 1641546 2086776 2188728 3130164 3283092 4173552 4377456 6260328 6566184 12520656 13132368 97894913 195789826 293684739 391579652 587369478 783159304 881054217 1174738956 1566318608 1762108434 2349477912 2643162651 3524216868 4698955824 5286325302 7048433736 7929487953 10572650604 14096867472 15858975906 21145301208 31717951812 42290602416 63435903624 126871807248