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5323300416 = 263272188609
BaseRepresentation
bin1001111010100101…
…10001111001000000
3111201222201200100200
410331102301321000
541400231103131
62240120445200
7245626210200
oct47522617100
914658650320
105323300416
112291956435
121046919800
1366ab27105
14386dbc400
152125192e6
hex13d4b1e40

5323300416 has 126 divisors (see below), whose sum is σ = 17749521270. Its totient is φ = 1520934912.

The previous prime is 5323300393. The next prime is 5323300483. The reversal of 5323300416 is 6140033235.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4860878400 + 462422016 = 69720^2 + 21504^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 5323300416.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66081 + ... + 122528.

Almost surely, 25323300416 is an apocalyptic number.

5323300416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5323300416 is an abundant number, since it is smaller than the sum of its proper divisors (12426220854).

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

5323300416 is a wasteful number, since it uses less digits than its factorization.

5323300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188641 (or 188621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5323300416 is about 72960.9513095875. The cubic root of 5323300416 is about 1746.0646716951.

The spelling of 5323300416 in words is "five billion, three hundred twenty-three million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 188609 377218 565827 754436 1131654 1320263 1508872 1697481 2263308 2640526 3017744 3394962 3960789 4526616 5281052 6035488 6789924 7921578 9053232 9241841 10562104 11882367 12070976 13579848 15843156 18106464 18483682 21124208 23764734 27159696 27725523 31686312 36212928 36967364 42248416 47529468 54319392 55451046 63372624 73934728 83176569 84496832 95058936 108638784 110902092 126745248 147869456 166353138 190117872 221804184 253490496 295738912 332706276 380235744 443608368 591477824 665412552 760471488 887216736 1330825104 1774433472 2661650208 5323300416