Search a number
-
+
425361912347520 = 2735583113291619
BaseRepresentation
bin110000010110111010100100…
…1101011111011101110000000
32001210002012110000202220100000
41200231311021223323232000
5421223112144030110040
64104400322003200000
7155411245501634001
oct14055651153735600
92053065400686300
10425361912347520
11113595a793a3545
123b859ba3976000
13153465c14195b5
1477078aac031a8
15342998d444130
hex182dd49afbb80

425361912347520 has 768 divisors, whose sum is σ = 1555228683590400. Its totient is φ = 111071127896064.

The previous prime is 425361912347509. The next prime is 425361912347551. The reversal of 425361912347520 is 25743219163524.

It is a happy number.

425361912347520 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 6 + 1 + 91 + 23 + 4 + 7 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1458476271 + ... + 1458767889.

It is an arithmetic number, because the mean of its divisors is an integer number (2025037348425).

Almost surely, 2425361912347520 is an apocalyptic number.

425361912347520 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 425361912347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777614341795200).

425361912347520 is an abundant number, since it is smaller than the sum of its proper divisors (1129866771242880).

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

425361912347520 is a wasteful number, since it uses less digits than its factorization.

425361912347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291849 (or 291825 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 425361912347520 in words is "four hundred twenty-five trillion, three hundred sixty-one billion, nine hundred twelve million, three hundred forty-seven thousand, five hundred twenty".