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315330316728 = 233713731144053
BaseRepresentation
bin1001001011010110010…
…01101100100110111000
31010010220220121210210120
410211223021230212320
520131244030113403
6400505531013240
731532115316320
oct4455311544670
91103826553716
10315330316728
1111180481a149
125114359a220
1323973c2b93b
141139518c280
1583084bee53
hex496b26c9b8

315330316728 has 128 divisors (see below), whose sum is σ = 910458731520. Its totient is φ = 89147151360.

The previous prime is 315330316657. The next prime is 315330316781. The reversal of 315330316728 is 827613033513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 315330316728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7135950 + ... + 7180002.

It is an arithmetic number, because the mean of its divisors is an integer number (7112958840).

Almost surely, 2315330316728 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 315330316728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455229365760).

315330316728 is an abundant number, since it is smaller than the sum of its proper divisors (595128414792).

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

315330316728 is a wasteful number, since it uses less digits than its factorization.

315330316728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44517 (or 44513 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 315330316728 in words is "three hundred fifteen billion, three hundred thirty million, three hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 311 411 548 622 822 933 959 1096 1244 1644 1866 1918 2177 2488 2877 3288 3732 3836 4354 5754 6531 7464 7672 8708 11508 13062 17416 23016 26124 42607 44053 52248 85214 88106 127821 132159 170428 176212 255642 264318 298249 308371 340856 352424 511284 528636 596498 616742 894747 925113 1022568 1057272 1192996 1233484 1789494 1850226 2385992 2466968 3578988 3700452 6035261 7157976 7400904 12070522 13700483 18105783 24141044 27400966 36211566 41101449 42246827 48282088 54801932 72423132 82202898 84493654 95903381 109603864 126740481 144846264 164405796 168987308 191806762 253480962 287710143 328811592 337974616 383613524 506961924 575420286 767227048 1013923848 1150840572 1876966171 2301681144 3753932342 5630898513 7507864684 11261797026 13138763197 15015729368 22523594052 26277526394 39416289591 45047188104 52555052788 78832579182 105110105576 157665158364 315330316728