Search a number
-
+
4922641016832 = 211372117691933
BaseRepresentation
bin100011110100010010001…
…0001001110100000000000
3122102121012022112121102110
41013220210101032200000
51121123032100014312
614245232521015320
71015435430153100
oct107504421164000
918377168477373
104922641016832
111628753580520
1267605a624540
13299284163a06
14130385689200
15880b103643c
hex47a2444e800

4922641016832 has 576 divisors, whose sum is σ = 16684653585600. Its totient is φ = 1276284764160.

The previous prime is 4922641016803. The next prime is 4922641016849. The reversal of 4922641016832 is 2386101462294.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546631738 + ... + 2546633670.

It is an arithmetic number, because the mean of its divisors is an integer number (28966412475).

Almost surely, 24922641016832 is an apocalyptic number.

4922641016832 is a gapful number since it is divisible by the number (42) 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 4922641016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342326792800).

4922641016832 is an abundant number, since it is smaller than the sum of its proper divisors (11762012568768).

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

4922641016832 is a wasteful number, since it uses less digits than its factorization.

4922641016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 4922641016832 in words is "four trillion, nine hundred twenty-two billion, six hundred forty-one million, sixteen thousand, eight hundred thirty-two".