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126515262640 = 24513121649291
BaseRepresentation
bin111010111010011100…
…1011011010010110000
3110002120001210020122011
41311310321123102300
54033100401401030
6134041553052304
712066110663134
oct1656471332260
9402501706564
10126515262640
11497226273a8
1220629857094
13bc12c50270
1461a27613c4
153456e6db2a
hex1d74e5b4b0

126515262640 has 40 divisors (see below), whose sum is σ = 316774756368. Its totient is φ = 46713327360.

The previous prime is 126515262637. The next prime is 126515262649. The reversal of 126515262640 is 46262515621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1265152626402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 126515262593 and 126515262602.

It is not an unprimeable number, because it can be changed into a prime (126515262649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60823606 + ... + 60825685.

Almost surely, 2126515262640 is an apocalyptic number.

126515262640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126515262640 is an abundant number, since it is smaller than the sum of its proper divisors (190259493728).

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

126515262640 is a wasteful number, since it uses less digits than its factorization.

126515262640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121649317 (or 121649311 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 126515262640 in words is "one hundred twenty-six billion, five hundred fifteen million, two hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 121649291 243298582 486597164 608246455 973194328 1216492910 1581440783 1946388656 2432985820 3162881566 4865971640 6325763132 7907203915 9731943280 12651526264 15814407830 25303052528 31628815660 63257631320 126515262640