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126012729136 = 24715726772
BaseRepresentation
bin111010101011011110…
…0011010011100110000
3110001021001011220021011
41311112330122130300
54031033224313021
6133520042040304
712050466344650
oct1652674323460
9401231156234
10126012729136
114949499a558
12205094a9094
13bb62abbc68
146155b0a360
153427ca4de1
hex1d56f1a730

126012729136 has 60 divisors (see below), whose sum is σ = 280910370288. Its totient is φ = 53641426176.

The previous prime is 126012729127. The next prime is 126012729151. The reversal of 126012729136 is 631927210621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47071030 + ... + 47073706.

Almost surely, 2126012729136 is an apocalyptic number.

126012729136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126012729136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455185144).

126012729136 is an abundant number, since it is smaller than the sum of its proper divisors (154897641152).

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

126012729136 is an frugal number, since it uses more digits than its factorization.

126012729136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

Adding to 126012729136 its reverse (631927210621), we get a palindrome (757939939757).

The spelling of 126012729136 in words is "one hundred twenty-six billion, twelve million, seven hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 2677 4396 5354 8792 10708 17584 18739 21416 37478 42832 74956 149912 299824 420289 840578 1681156 2942023 3362312 5884046 6724624 7166329 11768092 14332658 23536184 28665316 47072368 50164303 57330632 100328606 114661264 200657212 401314424 802628848 1125113653 2250227306 4500454612 7875795571 9000909224 15751591142 18001818448 31503182284 63006364568 126012729136