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315050502042464 = 25198920692814013
BaseRepresentation
bin100011110100010010110100…
…1010000101011001101100000
31112022111112102011210112111212
41013220211221100223031200
5312243241412010324324
63034020111431525252
7123234435065154116
oct10750455120531540
91468445364715455
10315050502042464
1191426193064a81
122b402a93829828
13106a419a3b2c56
1457b27505a5ab6
1526652be98670e
hex11e896942b360

315050502042464 has 96 divisors (see below), whose sum is σ = 660556018332000. Its totient is φ = 147486286024704.

The previous prime is 315050502042433. The next prime is 315050502042467. The reversal of 315050502042464 is 464240205050513.

It is a super-2 number, since 2×3150505020424642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315050502042467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110550722 + ... + 113364734.

It is an arithmetic number, because the mean of its divisors is an integer number (6880791857625).

Almost surely, 2315050502042464 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 315050502042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330278009166000).

315050502042464 is an abundant number, since it is smaller than the sum of its proper divisors (345505516289536).

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

315050502042464 is a wasteful number, since it uses less digits than its factorization.

315050502042464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816200 (or 2816192 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 315050502042464 its reverse (464240205050513), we get a palindrome (779290707092977).

The spelling of 315050502042464 in words is "three hundred fifteen trillion, fifty billion, five hundred two million, forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 304 356 608 712 1424 1691 2069 2848 3382 4138 6764 8276 13528 16552 27056 33104 39311 54112 66208 78622 157244 184141 314488 368282 628976 736564 1257952 1473128 2814013 2946256 3498679 5628026 5892512 6997358 11256052 13994716 22512104 27989432 45024208 53466247 55978864 90048416 106932494 111957728 213864988 250447157 427729976 500894314 855459952 1001788628 1710919904 2003577256 4007154512 4758495983 5822192897 8014309024 9516991966 11644385794 19033983932 23288771588 38067967864 46577543176 76135935728 93155086352 110621665043 152271871456 186310172704 221243330086 442486660172 518175167833 884973320344 1036350335666 1769946640688 2072700671332 3539893281376 4145401342664 8290802685328 9845328188827 16581605370656 19690656377654 39381312755308 78762625510616 157525251021232 315050502042464