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10744027736 = 23131937146953
BaseRepresentation
bin10100000000110010…
…01101101001011000
31000201202210011022012
422000121031221120
5134000432341421
64534041445052
7530150505011
oct120031155130
930652704265
1010744027736
1146137a6072
1220ba1a0788
131022ba3780
1473ccbc008
1542d37a95b
hex28064da58

10744027736 has 64 divisors (see below), whose sum is σ = 23453858400. Its totient is φ = 4570795008.

The previous prime is 10744027703. The next prime is 10744027739. The reversal of 10744027736 is 63772044701.

It is a junction number, because it is equal to n+sod(n) for n = 10744027693 and 10744027702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744027739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365 + ... + 146588.

Almost surely, 210744027736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10744027736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726929200).

10744027736 is an abundant number, since it is smaller than the sum of its proper divisors (12709830664).

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

10744027736 is a wasteful number, since it uses less digits than its factorization.

10744027736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147028 (or 147024 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 10744027736 in words is "ten billion, seven hundred forty-four million, twenty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 37 38 52 74 76 104 148 152 247 296 481 494 703 962 988 1406 1924 1976 2812 3848 5624 9139 18278 36556 73112 146953 293906 587812 1175624 1910389 2792107 3820778 5437261 5584214 7641556 10874522 11168428 15283112 21749044 22336856 36297391 43498088 70684393 72594782 103307959 141368786 145189564 206615918 282737572 290379128 413231836 565475144 826463672 1343003467 2686006934 5372013868 10744027736