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10352422080 = 2635572111319
BaseRepresentation
bin10011010010000110…
…10110110011000000
3222201110220112100000
421221003112303000
5132200210001310
64431132200000
7514354064400
oct115103266300
928643815300
1010352422080
114432743a30
12200b009000
13c8ca10c50
14702ca0800
15408cc44c0
hex2690d6cc0

10352422080 has 2016 divisors, whose sum is σ = 53121519360. Its totient is φ = 1881169920.

The previous prime is 10352422037. The next prime is 10352422081. The reversal of 10352422080 is 8022425301.

10352422080 is a `hidden beast` number, since 10 + 352 + 4 + 220 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10352422081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 544864311 + ... + 544864329.

It is an arithmetic number, because the mean of its divisors is an integer number (26349960).

Almost surely, 210352422080 is an apocalyptic number.

10352422080 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 10352422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

10352422080 is an abundant number, since it is smaller than the sum of its proper divisors (42769097280).

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

10352422080 is a wasteful number, since it uses less digits than its factorization.

10352422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10352422080 its reverse (8022425301), we get a palindrome (18374847381).

The spelling of 10352422080 in words is "ten billion, three hundred fifty-two million, four hundred twenty-two thousand, eighty".