Search a number
-
+
10420322641984 = 263126115791759
BaseRepresentation
bin1001011110100010101110…
…1000010010100001000000
31100220011200012102210200001
42113220223220102201000
52331211310044020414
634055010302005344
72123562211013353
oct227505350224100
940804605383601
1010420322641984
113358263524102
121203640b76854
135a782ac690b8
142804bc3a229a
151310caa8a074
hex97a2ba12840

10420322641984 has 168 divisors, whose sum is σ = 21742747065600. Its totient is φ = 4953475814400.

The previous prime is 10420322641921. The next prime is 10420322642099. The reversal of 10420322641984 is 48914622302401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5924002897 + ... + 5924004655.

Almost surely, 210420322641984 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 10420322641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871373532800).

10420322641984 is an abundant number, since it is smaller than the sum of its proper divisors (11322424423616).

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

10420322641984 is a wasteful number, since it uses less digits than its factorization.

10420322641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 10420322641984 in words is "ten trillion, four hundred twenty billion, three hundred twenty-two million, six hundred forty-one thousand, nine hundred eighty-four".