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93430689368550 = 23523118929224303
BaseRepresentation
bin10101001111100110000111…
…000011010000100111100110
3110020210212221101101101010220
4111033212013003100213212
544221232022434243200
6530413244405025210
725452100403123532
oct2517460703204746
9406725841341126
1093430689368550
1127851807463036
12a58b5b09b5206
1340196262aa031
1419100d8994bc2
15ac052edb54a0
hex54f9870d09e6

93430689368550 has 96 divisors (see below), whose sum is σ = 232480221742080. Its totient is φ = 24831846374400.

The previous prime is 93430689368521. The next prime is 93430689368551. The reversal of 93430689368550 is 5586398603439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93430689368551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416425699 + ... + 416650001.

It is an arithmetic number, because the mean of its divisors is an integer number (2421668976480).

Almost surely, 293430689368550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93430689368550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116240110871040).

93430689368550 is an abundant number, since it is smaller than the sum of its proper divisors (139049532373530).

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

93430689368550 is a wasteful number, since it uses less digits than its factorization.

93430689368550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233558 (or 233553 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 69.

The spelling of 93430689368550 in words is "ninety-three trillion, four hundred thirty billion, six hundred eighty-nine million, three hundred sixty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 311 622 933 1555 1866 3110 4665 7775 8929 9330 15550 17858 23325 26787 44645 46650 53574 89290 133935 223225 224303 267870 446450 448606 669675 672909 1121515 1339350 1345818 2243030 2776919 3364545 5553838 5607575 6729090 8330757 11215150 13884595 16661514 16822725 27769190 33645450 41653785 69422975 69758233 83307570 138845950 139516466 208268925 209274699 348791165 416537850 418549398 697582330 1046373495 1743955825 2002801487 2092746990 3487911650 4005602974 5231867475 6008404461 10014007435 10463734950 12016808922 20028014870 30042022305 50070037175 60084044610 100140074350 150210111525 300420223050 622871262457 1245742524914 1868613787371 3114356312285 3737227574742 6228712624570 9343068936855 15571781561425 18686137873710 31143563122850 46715344684275 93430689368550