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318929008644 = 223261215432
BaseRepresentation
bin1001010010000011010…
…01100111100000000100
31010111012201012022001100
410221001221213200010
520211131311234034
6402303003300100
732020233562431
oct4510151474004
91114181168040
10318929008644
111132911246a4
125198881a630
13240c867153c
14116170bab88
1584693c4099
hex4a41a67804

318929008644 has 81 divisors (see below), whose sum is σ = 820145937429. Its totient is φ = 104499119520.

The previous prime is 318929008639. The next prime is 318929008663. The reversal of 318929008644 is 446800929813.

The square root of 318929008644 is 564738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10370978244 + 308558030400 = 101838^2 + 555480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206693337 + ... + 206694879.

Almost surely, 2318929008644 is an apocalyptic number.

318929008644 is the 564738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318929008644

318929008644 is an abundant number, since it is smaller than the sum of its proper divisors (501216928785).

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

318929008644 is an equidigital number, since it uses as much as digits as its factorization.

318929008644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 318929008644 in words is "three hundred eighteen billion, nine hundred twenty-nine million, eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1543 2196 3086 3721 4629 6172 7442 9258 11163 13887 14884 18516 22326 27774 33489 44652 55548 66978 94123 133956 188246 282369 376492 564738 847107 1129476 1694214 2380849 3388428 4761698 5741503 7142547 9523396 11483006 14285094 17224509 21427641 22966012 28570188 34449018 42855282 51673527 68898036 85710564 103347054 145231789 206694108 290463578 435695367 580927156 871390734 1307086101 1742781468 2614172202 5228344404 8859139129 17718278258 26577417387 35436556516 53154834774 79732252161 106309669548 159464504322 318929008644