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5900376450696 = 2337131719233111731
BaseRepresentation
bin101010111011100100111…
…0101111010011010001000
3202220001220101020212220220
41111313021311322122020
51233132432332410241
620314332344350040
71146200554213440
oct125671165723210
922801811225826
105900376450696
111975376758332
127b3648175320
1333a531837b60
14165818b63120
15a3737d0e166
hex55dc9d7a688

5900376450696 has 1024 divisors, whose sum is σ = 21797417779200. Its totient is φ = 1284271718400.

The previous prime is 5900376450629. The next prime is 5900376450697. The reversal of 5900376450696 is 6960546730095.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5900376450697) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 502967151 + ... + 502978881.

It is an arithmetic number, because the mean of its divisors is an integer number (21286540800).

Almost surely, 25900376450696 is an apocalyptic number.

5900376450696 is a gapful number since it is divisible by the number (56) 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 5900376450696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898708889600).

5900376450696 is an abundant number, since it is smaller than the sum of its proper divisors (15897041328504).

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

5900376450696 is a wasteful number, since it uses less digits than its factorization.

5900376450696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 5900376450696 in words is "five trillion, nine hundred billion, three hundred seventy-six million, four hundred fifty thousand, six hundred ninety-six".