Search a number
-
+
10425354150200 = 235211232591491019
BaseRepresentation
bin1001011110110101011110…
…0001111110000100111000
31100220122122212002220101012
42113231113201332010320
52331302111130301300
634101201440413052
72124130665100463
oct227552741760470
940818585086335
1010425354150200
11335a4056a1760
121204606017188
135a81504aa2b2
142808387062da
151312c2667435
hex97b5787e138

10425354150200 has 576 divisors, whose sum is σ = 28327093200000. Its totient is φ = 3537349657600.

The previous prime is 10425354150187. The next prime is 10425354150229. The reversal of 10425354150200 is 205145352401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10230965291 + ... + 10230966309.

It is an arithmetic number, because the mean of its divisors is an integer number (49178981250).

Almost surely, 210425354150200 is an apocalyptic number.

10425354150200 is a gapful number since it is divisible by the number (10) 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 10425354150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163546600000).

10425354150200 is an abundant number, since it is smaller than the sum of its proper divisors (17901739049800).

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

10425354150200 is a wasteful number, since it uses less digits than its factorization.

10425354150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 10425354150200 in words is "ten trillion, four hundred twenty-five billion, three hundred fifty-four million, one hundred fifty thousand, two hundred".