Search a number
-
+
96832025221360 = 245111323132080201
BaseRepresentation
bin10110000001000101110110…
…011101110101100011110000
3110200212001101022212101010211
4112001011312131311203300
5100142443441424040420
6541540003540433504
726252611565625352
oct2601056635654360
9420761338771124
1096832025221360
112894325a9170a0
12aa3a8413a8894
1342052b4127200
1419ca9a32250d2
15b2dc53425e5a
hex5811767758f0

96832025221360 has 240 divisors, whose sum is σ = 266796690267168. Its totient is φ = 32399198208000.

The previous prime is 96832025221271. The next prime is 96832025221409. The reversal of 96832025221360 is 6312252023869.

It is a super-2 number, since 2×968320252213602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45509260 + ... + 47589460.

Almost surely, 296832025221360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96832025221360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133398345133584).

96832025221360 is an abundant number, since it is smaller than the sum of its proper divisors (169964665045808).

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

96832025221360 is a wasteful number, since it uses less digits than its factorization.

96832025221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080564 (or 2080545 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 96832025221360 in words is "ninety-six trillion, eight hundred thirty-two billion, twenty-five million, two hundred twenty-one thousand, three hundred sixty".