Search a number
-
+
4962791985984 = 263571723313761
BaseRepresentation
bin100100000110111110101…
…1101000001001101000000
3122120102211111200011200000
41020031331131001031000
51122302244222022414
614315513011400000
71021356416601150
oct110157535011500
918512744604600
104962791985984
111643787772958
126819a4bb3000
1329ccb2594321
141322b3d14760
1589160ddeb09
hex4837d741340

4962791985984 has 1344 divisors, whose sum is σ = 19233025523712. Its totient is φ = 1235002982400.

The previous prime is 4962791985979. The next prime is 4962791986051. The reversal of 4962791985984 is 4895891972694.

4962791985984 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 7 + 9 + 19 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×49627919859842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319538664 + ... + 1319542424.

It is an arithmetic number, because the mean of its divisors is an integer number (14310286848).

Almost surely, 24962791985984 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 4962791985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616512761856).

4962791985984 is an abundant number, since it is smaller than the sum of its proper divisors (14270233537728).

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

4962791985984 is a wasteful number, since it uses less digits than its factorization.

4962791985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3844 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 4962791985984 in words is "four trillion, nine hundred sixty-two billion, seven hundred ninety-one million, nine hundred eighty-five thousand, nine hundred eighty-four".