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93368378340 = 223253361154333
BaseRepresentation
bin101011011110100110…
…0000110001111100100
322221000000002001112200
41112331030012033210
53012204301101330
6110520504214500
76513520056366
oct1267514061744
9287000061480
1093368378340
1136663019646
1216118a6a430
138a5c925c63
14473a3d6d36
152666e39a60
hex15bd3063e4

93368378340 has 72 divisors (see below), whose sum is σ = 283303515768. Its totient is φ = 24890664960.

The previous prime is 93368378339. The next prime is 93368378347. The reversal of 93368378340 is 4387386339.

It can be written as a sum of positive squares in 4 ways, for example, as 27153766656 + 66214611684 = 164784^2 + 257322^2 .

It is not an unprimeable number, because it can be changed into a prime (93368378347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527814 + ... + 682146.

Almost surely, 293368378340 is an apocalyptic number.

93368378340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93368378340 is an abundant number, since it is smaller than the sum of its proper divisors (189935137428).

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

93368378340 is a wasteful number, since it uses less digits than its factorization.

93368378340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157709 (or 157704 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 93368378340 in words is "ninety-three billion, three hundred sixty-eight million, three hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3361 6722 10083 13444 16805 20166 30249 33610 40332 50415 60498 67220 100830 120996 151245 154333 201660 302490 308666 462999 604980 617332 771665 925998 1388997 1543330 1851996 2314995 2777994 3086660 4629990 5555988 6944985 9259980 13889970 27779940 518713213 1037426426 1556139639 2074852852 2593566065 3112279278 4668418917 5187132130 6224558556 7780698195 9336837834 10374264260 15561396390 18673675668 23342094585 31122792780 46684189170 93368378340