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91343318985972 = 223223211523999683
BaseRepresentation
bin10100110001001110000110…
…000101001010110011110100
3102222102100001221202020000100
4110301032012011022303310
543433032104130022342
6522134312541314100
725145223411456144
oct2461160605126364
9388370057666010
1091343318985972
11271175362856a9
12a2b2b44865930
133bc783a966441
14187b07c558924
15a860b183be4c
hex53138614acf4

91343318985972 has 144 divisors (see below), whose sum is σ = 242539525283328. Its totient is φ = 28930477181760.

The previous prime is 91343318985953. The next prime is 91343318985979. The reversal of 91343318985972 is 27958981334319.

91343318985972 is a `hidden beast` number, since 9 + 1 + 3 + 433 + 18 + 98 + 5 + 97 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91343318985972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91343318985979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90872443 + ... + 91872125.

It is an arithmetic number, because the mean of its divisors is an integer number (1684302258912).

Almost surely, 291343318985972 is an apocalyptic number.

91343318985972 is a gapful number since it is divisible by the number (92) 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 91343318985972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121269762641664).

91343318985972 is an abundant number, since it is smaller than the sum of its proper divisors (151196206297356).

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

91343318985972 is a wasteful number, since it uses less digits than its factorization.

91343318985972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000450 (or 1000445 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 91343318985972 in words is "ninety-one trillion, three hundred forty-three billion, three hundred eighteen million, nine hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 211 276 414 422 523 633 828 844 1046 1266 1569 1899 2092 2532 3138 3798 4707 4853 6276 7596 9414 9706 12029 14559 18828 19412 24058 29118 36087 43677 48116 58236 72174 87354 108261 110353 144348 174708 216522 220706 331059 433044 441412 662118 993177 999683 1324236 1986354 1999366 2538119 2999049 3972708 3998732 5076238 5998098 7614357 8997147 10152476 11996196 15228714 17994294 22843071 22992709 30457428 35988588 45686142 45985418 68978127 91372284 91970836 137956254 206934381 210933113 275912508 413868762 421866226 522834209 632799339 827737524 843732452 1045668418 1265598678 1568502627 1898398017 2091336836 2531197356 3137005254 3796796034 4705507881 4851461599 6274010508 7593592068 9411015762 9702923198 12025186807 14554384797 18822031524 19405846396 24050373614 29108769594 36075560421 43663154391 48100747228 58217539188 72151120842 87326308782 108226681263 110318018099 144302241684 174652617564 216453362526 220636036198 330954054297 432906725052 441272072396 661908108594 992862162891 1323816217188 1985724325782 2537314416277 3971448651564 5074628832554 7611943248831 10149257665108 15223886497662 22835829746493 30447772995324 45671659492986 91343318985972