Search a number
-
+
93744241248 = 2537236065233
BaseRepresentation
bin101011101001110010…
…1111001101001100000
322221222012022212112010
41113103211321221200
53013442011204443
6111022052232520
76526032621540
oct1272345715140
9287865285463
1093744241248
11368361a8a49
121620290b740
138abc766048
1447742b7320
152689e31733
hex15d3979a60

93744241248 has 96 divisors (see below), whose sum is σ = 293460281856. Its totient is φ = 25619539968.

The previous prime is 93744241223. The next prime is 93744241267. The reversal of 93744241248 is 84214244739.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 93744241197 and 93744241206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3017161 + ... + 3048072.

It is an arithmetic number, because the mean of its divisors is an integer number (3056877936).

Almost surely, 293744241248 is an apocalyptic number.

It is an amenable number.

93744241248 is an abundant number, since it is smaller than the sum of its proper divisors (199716040608).

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

93744241248 is a wasteful number, since it uses less digits than its factorization.

93744241248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065276 (or 6065268 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 93744241248 in words is "ninety-three billion, seven hundred forty-four million, two hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 6065233 12130466 18195699 24260932 36391398 42456631 48521864 72782796 84913262 97043728 127369893 139500359 145565592 169826524 194087456 254739786 279000718 291131184 339653048 418501077 509479572 558001436 582262368 679306096 837002154 976502513 1018959144 1116002872 1358612192 1674004308 1953005026 2037918288 2232005744 2929507539 3348008616 3906010052 4075836576 4464011488 5859015078 6696017232 7812020104 11718030156 13392034464 15624040208 23436060312 31248080416 46872120624 93744241248