Search a number
-
+
4934522880000 = 214325477649
BaseRepresentation
bin100011111001110100001…
…1110111100000000000000
3122110201212101100210111200
41013303220132330000000
51121321400324130000
614254515530341200
71016336035265430
oct107635036740000
918421771323450
104934522880000
1116327a058314a
1267841588a800
1329a4289a468c
14130b917142c0
158855921d500
hex47ce87bc000

4934522880000 has 900 divisors, whose sum is σ = 20360221081200. Its totient is φ = 1127743488000.

The previous prime is 4934522879983. The next prime is 4934522880031. The reversal of 4934522880000 is 882254394.

4934522880000 is a `hidden beast` number, since 4 + 9 + 345 + 228 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 645116176 + ... + 645123824.

It is an arithmetic number, because the mean of its divisors is an integer number (22622467868).

Almost surely, 24934522880000 is an apocalyptic number.

4934522880000 is a gapful number since it is divisible by the number (40) 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 4934522880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180110540600).

4934522880000 is an abundant number, since it is smaller than the sum of its proper divisors (15425698201200).

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

4934522880000 is an frugal number, since it uses more digits than its factorization.

4934522880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4934522880000 in words is "four trillion, nine hundred thirty-four billion, five hundred twenty-two million, eight hundred eighty thousand".