Search a number
-
+
93508343424 = 273281170437
BaseRepresentation
bin101011100010110001…
…0000001011010000000
322221100202110000112200
41113011202001122000
53013001113442144
6110542424153200
76520136543016
oct1270542013200
9287322400480
1093508343424
1136725027471
1216157908800
138a82920432
144750c2c8b6
152674385c69
hex15c5881680

93508343424 has 48 divisors (see below), whose sum is σ = 269080001970. Its totient is φ = 31169447424.

The previous prime is 93508343407. The next prime is 93508343431. The reversal of 93508343424 is 42434380539.

93508343424 is a `hidden beast` number, since 93 + 50 + 83 + 434 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79998465600 + 13509877824 = 282840^2 + 116232^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 93508343424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40584067 + ... + 40586370.

Almost surely, 293508343424 is an apocalyptic number.

It is an amenable number.

93508343424 is an abundant number, since it is smaller than the sum of its proper divisors (175571658546).

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

93508343424 is a wasteful number, since it uses less digits than its factorization.

93508343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81170457 (or 81170442 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 93508343424 in words is "ninety-three billion, five hundred eight million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 81170437 162340874 243511311 324681748 487022622 649363496 730533933 974045244 1298726992 1461067866 1948090488 2597453984 2922135732 3896180976 5194907968 5844271464 7792361952 10389815936 11688542928 15584723904 23377085856 31169447808 46754171712 93508343424