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8513057344 = 261123222859
BaseRepresentation
bin1111110110110101…
…01111001001000000
3210222021211010021011
413323122233021000
5114413320313334
63524424210304
7420650536111
oct77332571100
923867733234
108513057344
113679442a90
121797009994
13a5891a54c
145aa89c208
1534c592564
hex1fb6af240

8513057344 has 84 divisors (see below), whose sum is σ = 19265767920. Its totient is φ = 3701167360.

The previous prime is 8513057339. The next prime is 8513057353. The reversal of 8513057344 is 4437503158.

It is a junction number, because it is equal to n+sod(n) for n = 8513057297 and 8513057306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360987 + ... + 383845.

It is an arithmetic number, because the mean of its divisors is an integer number (229354380).

Almost surely, 28513057344 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 8513057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632883960).

8513057344 is an abundant number, since it is smaller than the sum of its proper divisors (10752710576).

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

8513057344 is a wasteful number, since it uses less digits than its factorization.

8513057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22928 (or 22895 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 8513057344 is about 92266.2307889512. The cubic root of 8513057344 is about 2041.8720275837.

The spelling of 8513057344 in words is "eight billion, five hundred thirteen million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 529 704 736 1012 1058 1472 2024 2116 4048 4232 5819 8096 8464 11638 16192 16928 22859 23276 33856 45718 46552 91436 93104 182872 186208 251449 365744 372416 502898 525757 731488 1005796 1051514 1462976 2011592 2103028 4023184 4206056 5783327 8046368 8412112 11566654 12092411 16092736 16824224 23133308 24184822 33648448 46266616 48369644 92533232 96739288 133016521 185066464 193478576 266033042 370132928 386957152 532066084 773914304 1064132168 2128264336 4256528672 8513057344