Search a number
-
+
93680223840 = 2533573097891
BaseRepresentation
bin101011100111111000…
…1101100011001100000
322221210201212110011000
41113033301230121200
53013324114130330
6111011444152000
76524324523060
oct1271761543140
9287721773130
1093680223840
11368030537a5
12161a5398600
138aac410618
1447699b13a0
1526844d8560
hex15cfc6c660

93680223840 has 192 divisors, whose sum is σ = 374721016320. Its totient is φ = 21412615680.

The previous prime is 93680223827. The next prime is 93680223841. The reversal of 93680223840 is 4832208639.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93680223841) 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 31 ways as a sum of consecutive naturals, for example, 1518706 + ... + 1579185.

It is an arithmetic number, because the mean of its divisors is an integer number (1951671960).

Almost surely, 293680223840 is an apocalyptic number.

93680223840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93680223840 is an abundant number, since it is smaller than the sum of its proper divisors (281040792480).

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

93680223840 is a wasteful number, since it uses less digits than its factorization.

93680223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097922 (or 3097908 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 93680223840 in words is "ninety-three billion, six hundred eighty million, two hundred twenty-three thousand, eight hundred forty".