Search a number
-
+
126263752640 = 2651313012017
BaseRepresentation
bin111010110010111100…
…1111111011111000000
3110001220112112012202222
41311211321333133000
54032042010041030
6134001010230212
712056635121624
oct1654571773700
9401815465688
10126263752640
11496036621a3
1220579585368
13bba2acc48c
14617b1b1184
15343ed3c3e5
hex1d65e7f7c0

126263752640 has 56 divisors (see below), whose sum is σ = 302960818512. Its totient is φ = 50119946240.

The previous prime is 126263752591. The next prime is 126263752651. The reversal of 126263752640 is 46257362621.

It is a junction number, because it is equal to n+sod(n) for n = 126263752591 and 126263752600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464089 + ... + 1547928.

Almost surely, 2126263752640 is an apocalyptic number.

126263752640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126263752640 is an abundant number, since it is smaller than the sum of its proper divisors (176697065872).

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

126263752640 is a wasteful number, since it uses less digits than its factorization.

126263752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012165 (or 3012155 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 126263752640 in words is "one hundred twenty-six billion, two hundred sixty-three million, seven hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 524 655 1048 1310 2096 2620 4192 5240 8384 10480 20960 41920 3012017 6024034 12048068 15060085 24096136 30120170 48192272 60240340 96384544 120480680 192769088 240961360 394574227 481922720 789148454 963845440 1578296908 1972871135 3156593816 3945742270 6313187632 7891484540 12626375264 15782969080 25252750528 31565938160 63131876320 126263752640