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325643273472 = 28311159724137
BaseRepresentation
bin1001011110100011101…
…10100000010100000000
31011010112122021021212110
410233101312200110000
520313404134222342
6405333133255320
732345513103516
oct4572166402400
91133478237773
10325643273472
111161171581a0
1253141334540
13249287024ca
1411a92ad84b6
15870da9ac9c
hex4bd1da0500

325643273472 has 144 divisors (see below), whose sum is σ = 946106868672. Its totient is φ = 98613903360.

The previous prime is 325643273447. The next prime is 325643273477. The reversal of 325643273472 is 274372346523.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325643273477) 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, 13479388 + ... + 13503524.

It is an arithmetic number, because the mean of its divisors is an integer number (6570186588).

Almost surely, 2325643273472 is an apocalyptic number.

325643273472 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 325643273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473053434336).

325643273472 is an abundant number, since it is smaller than the sum of its proper divisors (620463595200).

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

325643273472 is a wasteful number, since it uses less digits than its factorization.

325643273472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25750 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 48.

The spelling of 325643273472 in words is "three hundred twenty-five billion, six hundred forty-three million, two hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1597 2112 2816 3194 4224 4791 6388 8448 9582 12776 17567 19164 24137 25552 35134 38328 48274 51104 52701 70268 72411 76656 96548 102208 105402 140536 144822 153312 193096 204416 210804 265507 281072 289644 306624 386192 408832 421608 531014 562144 579288 613248 772384 796521 843216 1062028 1124288 1158576 1226496 1544768 1593042 1686432 2124056 2248576 2317152 3089536 3186084 3372864 4248112 4497152 4634304 6179072 6372168 6745728 8496224 9268608 12744336 13491456 16992448 18537216 25488672 33984896 38546789 50977344 67969792 77093578 101954688 115640367 154187156 203909376 231280734 308374312 424014679 462561468 616748624 848029358 925122936 1233497248 1272044037 1696058716 1850245872 2466994496 2544088074 3392117432 3700491744 4933988992 5088176148 6784234864 7400983488 9867977984 10176352296 13568469728 14801966976 20352704592 27136939456 29603933952 40705409184 54273878912 81410818368 108547757824 162821636736 325643273472