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126964413 = 32413371021
BaseRepresentation
bin1111001000101…
…01001010111101
322211220110102200
413210111022331
5230000330123
620333142113
73101115432
oct744251275
9284813380
10126964413
1165739274
123662a939
13203c4b94
1412c0db89
15b22e143
hex79152bd

126964413 has 24 divisors (see below), whose sum is σ = 188608056. Its totient is φ = 82252800.

The previous prime is 126964391. The next prime is 126964417. The reversal of 126964413 is 314469621.

126964413 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 644 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131769 + 126832644 = 363^2 + 11262^2 .

It is not a de Polignac number, because 126964413 - 28 = 126964157 is a prime.

It is a super-2 number, since 2×1269644132 = 32239924336869138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126964417) 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, 123843 + ... + 124863.

It is an arithmetic number, because the mean of its divisors is an integer number (7858669).

Almost surely, 2126964413 is an apocalyptic number.

It is an amenable number.

126964413 is a deficient number, since it is larger than the sum of its proper divisors (61643643).

126964413 is a wasteful number, since it uses less digits than its factorization.

126964413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 126964413 is about 11267.8486411560. The cubic root of 126964413 is about 502.6056152845.

The spelling of 126964413 in words is "one hundred twenty-six million, nine hundred sixty-four thousand, four hundred thirteen".

Divisors: 1 3 9 41 123 337 369 1011 1021 3033 3063 9189 13817 41451 41861 124353 125583 344077 376749 1032231 3096693 14107157 42321471 126964413