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10430717568 = 2738323943
BaseRepresentation
bin10011011011011100…
…00001111010000000
3222220221020100112220
421231232001322000
5132330230430233
64443010251040
7516324431205
oct115556017200
928827210486
1010430717568
114472960547
122031286a80
13ca2cc553b
1470d441cac
15410adceb3
hex26db81e80

10430717568 has 96 divisors (see below), whose sum is σ = 28051542240. Its totient is φ = 3434144256.

The previous prime is 10430717533. The next prime is 10430717569. The reversal of 10430717568 is 86571703401.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10430717569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2643405 + ... + 2647347.

It is an arithmetic number, because the mean of its divisors is an integer number (292203565).

Almost surely, 210430717568 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 10430717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025771120).

10430717568 is an abundant number, since it is smaller than the sum of its proper divisors (17620824672).

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

10430717568 is an frugal number, since it uses more digits than its factorization.

10430717568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10430717568 in words is "ten billion, four hundred thirty million, seven hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3943 3984 5312 6889 7886 7968 10624 11829 13778 15772 15936 20667 23658 27556 31544 31872 41334 47316 55112 63088 82668 94632 110224 126176 165336 189264 220448 252352 327269 330672 378528 440896 504704 654538 661344 757056 881792 981807 1309076 1322688 1514112 1963614 2618152 2645376 3927228 5236304 7854456 10472608 15708912 20945216 27163327 31417824 41890432 54326654 62835648 81489981 108653308 125671296 162979962 217306616 325959924 434613232 651919848 869226464 1303839696 1738452928 2607679392 3476905856 5215358784 10430717568