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10409915568 = 2431331538147
BaseRepresentation
bin10011011000111101…
…01011010010110000
3222212111002111120110
421230132223102300
5132304414244233
64440544341320
7515652552033
oct115436532260
928774074513
1010409915568
114462142708
122026314840
13c9b8c1070
1470a78901a
1540dd7e663
hex26c7ab4b0

10409915568 has 80 divisors (see below), whose sum is σ = 29895197696. Its totient is φ = 3099720960.

The previous prime is 10409915563. The next prime is 10409915569. The reversal of 10409915568 is 86551990401.

10409915568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10409915561) 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 15 ways as a sum of consecutive naturals, for example, 249730 + ... + 288417.

Almost surely, 210409915568 is an apocalyptic number.

It is an amenable number.

10409915568 is an abundant number, since it is smaller than the sum of its proper divisors (19485282128).

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

10409915568 is a wasteful number, since it uses less digits than its factorization.

10409915568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538202 (or 538196 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 10409915568 in words is "ten billion, four hundred nine million, nine hundred fifteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 538147 1076294 1614441 2152588 3228882 4305176 6457764 6995911 8610352 12915528 13991822 16682557 20987733 25831056 27983644 33365114 41975466 50047671 55967288 66730228 83950932 100095342 111934576 133460456 167901864 200190684 216873241 266920912 335803728 400381368 433746482 650619723 800762736 867492964 1301239446 1734985928 2602478892 3469971856 5204957784 10409915568