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9468429568 = 281315711811
BaseRepresentation
bin10001101000101110…
…01100010100000000
3220102212112001120121
420310113030110000
5123342404221233
64203313150024
7453431215633
oct106427142400
926385461517
109468429568
114019755304
121a02b5b314
13b7b830660
1465b70dc1a
153a63aa92d
hex2345cc500

9468429568 has 72 divisors (see below), whose sum is σ = 20377911456. Its totient is φ = 4364851200.

The previous prime is 9468429557. The next prime is 9468429583. The reversal of 9468429568 is 8659248649.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5227383 + ... + 5229193.

It is an arithmetic number, because the mean of its divisors is an integer number (283026548).

Almost surely, 29468429568 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 9468429568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188955728).

9468429568 is an abundant number, since it is smaller than the sum of its proper divisors (10909481888).

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

9468429568 is a wasteful number, since it uses less digits than its factorization.

9468429568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3397 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 61.

The square root of 9468429568 is about 97305.8557744599. The cubic root of 9468429568 is about 2115.5631046136.

The spelling of 9468429568 in words is "nine billion, four hundred sixty-eight million, four hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1571 1664 1811 3142 3328 3622 6284 7244 12568 14488 20423 23543 25136 28976 40846 47086 50272 57952 81692 94172 100544 115904 163384 188344 201088 231808 326768 376688 402176 463616 653536 753376 1307072 1506752 2614144 2845081 3013504 5228288 5690162 6027008 11380324 22760648 36986053 45521296 73972106 91042592 147944212 182085184 295888424 364170368 591776848 728340736 1183553696 2367107392 4734214784 9468429568