Search a number
-
+
4380561911936 = 2777922721201
BaseRepresentation
bin111111101111101101110…
…101100011000010000000
3120111202222220001212221102
4333233231311203002000
51033232342322140221
613152222524313532
7631325256613340
oct77575565430200
916452886055842
104380561911936
111439870aa8781
125a8b953a28a8
1325a1152b0502
1411203dacad20
1578e3613030b
hex3fbedd63080

4380561911936 has 192 divisors, whose sum is σ = 10152984364800. Its totient is φ = 1843917004800.

The previous prime is 4380561911917. The next prime is 4380561911959. The reversal of 4380561911936 is 6391191650834.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 23 ways as a sum of consecutive naturals, for example, 3647428136 + ... + 3647429336.

It is an arithmetic number, because the mean of its divisors is an integer number (52880126900).

Almost surely, 24380561911936 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 4380561911936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076492182400).

4380561911936 is an abundant number, since it is smaller than the sum of its proper divisors (5772422452864).

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

4380561911936 is an equidigital number, since it uses as much as digits as its factorization.

4380561911936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 4380561911936 in words is "four trillion, three hundred eighty billion, five hundred sixty-one million, nine hundred eleven thousand, nine hundred thirty-six".