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5012430403200 = 2735211129136767
BaseRepresentation
bin100100011110000110000…
…1000100011011010000000
3122202011221220010000221220
41020330030020203122000
51124110424140400300
614354402335115040
71025064461305533
oct110741410433200
918664856100856
105012430403200
11166283a31a460
1268b538972a80
132a4893453a2c
14134862600a1a
158a5b8b5dda0
hex48f0c223680

5012430403200 has 384 divisors, whose sum is σ = 18025014896640. Its totient is φ = 1214160384000.

The previous prime is 5012430403187. The next prime is 5012430403273. The reversal of 5012430403200 is 23040342105.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 136311217 + ... + 136347983.

It is an arithmetic number, because the mean of its divisors is an integer number (46940142960).

Almost surely, 25012430403200 is an apocalyptic number.

5012430403200 is a gapful number since it is divisible by the number (50) 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 5012430403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012507448320).

5012430403200 is an abundant number, since it is smaller than the sum of its proper divisors (13012584493440).

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

5012430403200 is a wasteful number, since it uses less digits than its factorization.

5012430403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38096 (or 38079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 5012430403200 its reverse (23040342105), we get a palindrome (5035470745305).

The spelling of 5012430403200 in words is "five trillion, twelve billion, four hundred thirty million, four hundred three thousand, two hundred".