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126416612421 = 32111578133347
BaseRepresentation
bin111010110111100000…
…1000110110001000101
3110002022012011021222100
41311233001012301011
54032400123044141
6134024110422313
712063502322151
oct1655701066105
9402265137870
10126416612421
1149681977aa0
1220600801999
13bbc868cc58
146193602061
15344d4840b6
hex1d6f046c45

126416612421 has 24 divisors (see below), whose sum is σ = 200470761504. Its totient is φ = 76128118560.

The previous prime is 126416612411. The next prime is 126416612429. The reversal of 126416612421 is 124216614621.

126416612421 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 16 + 612 + 4 + 21 = 666.

It is not a de Polignac number, because 126416612421 - 27 = 126416612293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126416612429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4051131 + ... + 4082216.

It is an arithmetic number, because the mean of its divisors is an integer number (8352948396).

Almost surely, 2126416612421 is an apocalyptic number.

126416612421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126416612421 is a deficient number, since it is larger than the sum of its proper divisors (74054149083).

126416612421 is a wasteful number, since it uses less digits than its factorization.

126416612421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133521 (or 8133518 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

It can be divided in two parts, 126416 and 612421, that added together give a palindrome (738837).

The spelling of 126416612421 in words is "one hundred twenty-six billion, four hundred sixteen million, six hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 15543 8133347 24400041 73200123 89466817 268400451 805201353 1276935479 3830806437 11492419311 14046290269 42138870807 126416612421