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10424621412 = 2232497358229
BaseRepresentation
bin10011011010101101…
…10001100101100100
3222220111202122012100
421231112301211210
5132322200341122
64442231452100
7516221551152
oct115526614544
928814678170
1010424621412
11446a4773a7
12202b227030
13ca196c84a
1470c6d63d2
154102d6aac
hex26d5b1964

10424621412 has 36 divisors (see below), whose sum is σ = 26356877820. Its totient is φ = 3474115392.

The previous prime is 10424621411. The next prime is 10424621437. The reversal of 10424621412 is 21412642401.

10424621412 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 621 + 4 + 12 = 666.

10424621412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6859814976 + 3564806436 = 82824^2 + 59706^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10424621411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149914 + ... + 208142.

It is an arithmetic number, because the mean of its divisors is an integer number (732135495).

Almost surely, 210424621412 is an apocalyptic number.

10424621412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10424621412 is an abundant number, since it is smaller than the sum of its proper divisors (15932256408).

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

10424621412 is a wasteful number, since it uses less digits than its factorization.

10424621412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63212 (or 63207 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10424621412 in words is "ten billion, four hundred twenty-four million, six hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4973 9946 14919 19892 29838 44757 58229 59676 89514 116458 174687 179028 232916 349374 524061 698748 1048122 2096244 289572817 579145634 868718451 1158291268 1737436902 2606155353 3474873804 5212310706 10424621412