Search a number
-
+
93319439144928 = 2539295071045799
BaseRepresentation
bin10101001101111110100000…
…000001010101011111100000
3110020102020210011110110101020
4111031332200001111133200
544212421202410114203
6530250205234405440
725441051460616333
oct2515764001253740
9406366704413336
1093319439144928
1127809608623467
12a571b23430880
13400bca6a82849
14190898372a61a
15abc6bd161153
hex54dfa00557e0

93319439144928 has 48 divisors (see below), whose sum is σ = 244964025532800. Its totient is φ = 31106416505216.

The previous prime is 93319439144917. The next prime is 93319439144951. The reversal of 93319439144928 is 82944193491339.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88709773 + ... + 89755571.

It is an arithmetic number, because the mean of its divisors is an integer number (5103417198600).

Almost surely, 293319439144928 is an apocalyptic number.

It is an amenable number.

93319439144928 is an abundant number, since it is smaller than the sum of its proper divisors (151644586387872).

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

93319439144928 is a wasteful number, since it uses less digits than its factorization.

93319439144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975319 (or 1975311 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 69.

The spelling of 93319439144928 in words is "ninety-three trillion, three hundred nineteen billion, four hundred thirty-nine million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 929507 1045799 1859014 2091598 2788521 3137397 3718028 4183196 5577042 6274794 7436056 8366392 11154084 12549588 14872112 16732784 22308168 25099176 29744224 33465568 44616336 50198352 89232672 100396704 972077491093 1944154982186 2916232473279 3888309964372 5832464946558 7776619928744 11664929893116 15553239857488 23329859786232 31106479714976 46659719572464 93319439144928