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91318979328 = 283614014861
BaseRepresentation
bin101010100001100001…
…0010000101100000000
322201201011202210121120
41111003002100230000
52444010124314303
6105541254352240
76411653342223
oct1250302205400
9281634683546
1091318979328
1135801201855
121584665b680
1387c4173c15
1445c415d5ba
15259706a553
hex1543090b00

91318979328 has 144 divisors (see below), whose sum is σ = 247692917472. Its totient is φ = 29859840000.

The previous prime is 91318979327. The next prime is 91318979357. The reversal of 91318979328 is 82397981319.

It is not an unprimeable number, because it can be changed into a prime (91318979321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18783618 + ... + 18788478.

Almost surely, 291318979328 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 91318979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123846458736).

91318979328 is an abundant number, since it is smaller than the sum of its proper divisors (156373938144).

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

91318979328 is a wasteful number, since it uses less digits than its factorization.

91318979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5328 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The spelling of 91318979328 in words is "ninety-one billion, three hundred eighteen million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 401 488 732 768 802 976 1203 1464 1604 1952 2406 2928 3208 3904 4812 4861 5856 6416 7808 9624 9722 11712 12832 14583 15616 19248 19444 23424 24461 25664 29166 38496 38888 46848 48922 51328 58332 73383 76992 77776 97844 102656 116664 146766 153984 155552 195688 233328 293532 296521 307968 311104 391376 466656 587064 593042 622208 782752 889563 933312 1174128 1186084 1244416 1565504 1779126 1866624 1949261 2348256 2372168 3131008 3558252 3733248 3898522 4696512 4744336 5847783 6262016 7116504 7797044 9393024 9488672 11695566 14233008 15594088 18786048 18977344 23391132 28466016 31188176 37954688 46782264 56932032 62376352 75909376 93564528 113864064 118904921 124752704 187129056 227728128 237809842 249505408 356714763 374258112 475619684 499010816 713429526 748516224 951239368 1426859052 1497032448 1902478736 2853718104 3804957472 5707436208 7609914944 11414872416 15219829888 22829744832 30439659776 45659489664 91318979328