Search a number
-
+
96393703443840 = 2732511311073371361
BaseRepresentation
bin10101111010101101101000…
…011100111100110110000000
3110122022010222221010000002200
4111322231220130330312000
5100113303301040200330
6541002353411513200
726206133555164425
oct2572555034746600
9418263887100080
1096393703443840
1128794381685090
12a9898b42b8800
1341a2b6c32968a
1419b36a170bd4c
15b2264c546a60
hex57ab6873cd80

96393703443840 has 1536 divisors, whose sum is σ = 379737573396480. Its totient is φ = 22320119808000.

The previous prime is 96393703443839. The next prime is 96393703443847. The reversal of 96393703443840 is 4834430739369.

96393703443840 is a `hidden beast` number, since 9 + 6 + 3 + 93 + 70 + 3 + 4 + 438 + 40 = 666.

96393703443840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96393703443847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70825644760 + ... + 70825646120.

It is an arithmetic number, because the mean of its divisors is an integer number (247224982680).

Almost surely, 296393703443840 is an apocalyptic number.

96393703443840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96393703443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189868786698240).

96393703443840 is an abundant number, since it is smaller than the sum of its proper divisors (283343869952640).

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

96393703443840 is a wasteful number, since it uses less digits than its factorization.

96393703443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 96393703443840 in words is "ninety-six trillion, three hundred ninety-three billion, seven hundred three million, four hundred forty-three thousand, eight hundred forty".