Search a number
-
+
126106386357 = 3731674097069
BaseRepresentation
bin111010101110010000…
…1101011111110110101
3110001111120102011211010
41311130201223332311
54031231213330412
6133533225302433
712053014412040
oct1653441537665
9401446364733
10126106386357
1149532849616
1220534934a19
13bb79321733
146164329c57
15343110533c
hex1d5c86bfb5

126106386357 has 64 divisors (see below), whose sum is σ = 201842278400. Its totient is φ = 68517757440.

The previous prime is 126106386353. The next prime is 126106386379. The reversal of 126106386357 is 753683601621.

It is not a de Polignac number, because 126106386357 - 22 = 126106386353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126106386353) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17835819 + ... + 17842887.

It is an arithmetic number, because the mean of its divisors is an integer number (3153785600).

Almost surely, 2126106386357 is an apocalyptic number.

It is an amenable number.

126106386357 is a deficient number, since it is larger than the sum of its proper divisors (75735892043).

126106386357 is a wasteful number, since it uses less digits than its factorization.

126106386357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586.

The product of its (nonzero) digits is 1088640, while the sum is 48.

Adding to 126106386357 its reverse (753683601621), we get a palindrome (879789987978).

The spelling of 126106386357 in words is "one hundred twenty-six billion, one hundred six million, three hundred eighty-six thousand, three hundred fifty-seven".

Divisors: 1 3 7 21 31 67 93 201 217 409 469 651 1227 1407 2077 2863 6231 7069 8589 12679 14539 21207 27403 38037 43617 49483 82209 88753 148449 191821 219139 266259 473623 575463 657417 849493 1420869 1533973 2548479 2891221 3315361 4601919 5946451 8673663 9946083 14682313 17839353 20238547 44046939 60715641 89627851 102776191 193711807 268883553 308328573 581135421 627394957 1355982649 1882184871 4067947947 6005066017 18015198051 42035462119 126106386357