Search a number
-
+
5523225510000 = 2435411107156421
BaseRepresentation
bin101000001011111100111…
…1001010000000001110000
3201120000102002012222210210
41100113321321100001300
51210443031212310000
615425200151024120
71110016451133612
oct120277171200160
921500362188723
105523225510000
11183a4288a0420
1275253106b040
13310ab7c1a863
1415147b3dadb2
1598a1235c350
hex505f9e50070

5523225510000 has 400 divisors, whose sum is σ = 19632497689728. Its totient is φ = 1326441600000.

The previous prime is 5523225509993. The next prime is 5523225510017. The reversal of 5523225510000 is 155223255.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5523225510000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35231790 + ... + 35388210.

Almost surely, 25523225510000 is an apocalyptic number.

5523225510000 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 5523225510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816248844864).

5523225510000 is an abundant number, since it is smaller than the sum of its proper divisors (14109272179728).

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

5523225510000 is a wasteful number, since it uses less digits than its factorization.

5523225510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156570 (or 156549 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 5523225510000 in words is "five trillion, five hundred twenty-three billion, two hundred twenty-five million, five hundred ten thousand".