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10212240744 = 2332141836677
BaseRepresentation
bin10011000001011001…
…00110110101101000
3222100201010120200200
421200230212311220
5131403313200434
64405203432200
7511032420426
oct114054466550
928321116620
1010212240744
1143705a8692
121b90085660
13c6996c204
146cc410116
153eb834199
hex260b26d68

10212240744 has 24 divisors (see below), whose sum is σ = 27658152210. Its totient is φ = 3404080224.

The previous prime is 10212240743. The next prime is 10212240761. The reversal of 10212240744 is 44704221201.

10212240744 is a `hidden beast` number, since 1 + 0 + 212 + 2 + 407 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9523808100 + 688432644 = 97590^2 + 26238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×102122407442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212240743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70918267 + ... + 70918410.

Almost surely, 210212240744 is an apocalyptic number.

It is an amenable number.

10212240744 is an abundant number, since it is smaller than the sum of its proper divisors (17445911466).

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

10212240744 is a wasteful number, since it uses less digits than its factorization.

10212240744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141836689 (or 141836682 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 10212240744 its reverse (44704221201), we get a palindrome (54916461945).

The spelling of 10212240744 in words is "ten billion, two hundred twelve million, two hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 141836677 283673354 425510031 567346708 851020062 1134693416 1276530093 1702040124 2553060186 3404080248 5106120372 10212240744