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381531464512 = 261123228710303
BaseRepresentation
bin1011000110101010000…
…11000010001101000000
31100110210120202120002221
411203111003002031000
522222334023331022
6451134555220424
736364463640142
oct5432503021500
91313716676087
10381531464512
11137896624330
1261b3a147714
1329c94321433
1414675450c92
159dd033ecc7
hex58d50c2340

381531464512 has 112 divisors (see below), whose sum is σ = 862299389952. Its totient is φ = 165794618880.

The previous prime is 381531464497. The next prime is 381531464519. The reversal of 381531464512 is 215464135183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381531464519) 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, 37025953 + ... + 37036255.

It is an arithmetic number, because the mean of its divisors is an integer number (7699101696).

Almost surely, 2381531464512 is an apocalyptic number.

381531464512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381531464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431149694976).

381531464512 is an abundant number, since it is smaller than the sum of its proper divisors (480767925440).

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

381531464512 is a wasteful number, since it uses less digits than its factorization.

381531464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12626 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

Adding to 381531464512 its reverse (215464135183), we get a palindrome (596995599695).

The spelling of 381531464512 in words is "three hundred eighty-one billion, five hundred thirty-one million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 2287 4048 4574 8096 9148 10303 16192 18296 20606 25157 36592 41212 50314 52601 73184 82424 100628 105202 113333 146368 164848 201256 210404 226666 236969 329696 402512 420808 453332 473938 578611 659392 805024 841616 906664 947876 1157222 1610048 1683232 1813328 1895752 2314444 2606659 3366464 3626656 3791504 4628888 5213318 7253312 7583008 9257776 10426636 15166016 18515552 20853272 23562961 37031104 41706544 47125922 83413088 94251844 166826176 188503688 259192571 377007376 518385142 541948103 754014752 1036770284 1083896206 1508029504 2073540568 2167792412 4147081136 4335584824 5961429133 8294162272 8671169648 11922858266 16588324544 17342339296 23845716532 34684678592 47691433064 95382866128 190765732256 381531464512