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8212815360 = 293251973257
BaseRepresentation
bin1111010011000010…
…11001111000000000
3210012100212020200200
413221201121320000
5113304440042420
63434541045200
7410343531051
oct75141317000
923170766620
108212815360
113534a13812
121712556800
13a0b666579
1457ca64728
15331036b90
hex1e9859e00

8212815360 has 480 divisors, whose sum is σ = 30468540960. Its totient is φ = 2038431744.

The previous prime is 8212815343. The next prime is 8212815383. The reversal of 8212815360 is 635182128.

It is a happy number.

8212815360 is a `hidden beast` number, since 8 + 212 + 81 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×82128153602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 31956352 + ... + 31956608.

It is an arithmetic number, because the mean of its divisors is an integer number (63476127).

Almost surely, 28212815360 is an apocalyptic number.

8212815360 is a gapful number since it is divisible by the number (80) 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 8212815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234270480).

8212815360 is an abundant number, since it is smaller than the sum of its proper divisors (22255725600).

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

8212815360 is a wasteful number, since it uses less digits than its factorization.

8212815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8212815360 is about 90624.5847438762. The cubic root of 8212815360 is about 2017.5796387444.

Adding to 8212815360 its reverse (635182128), we get a palindrome (8847997488).

The spelling of 8212815360 in words is "eight billion, two hundred twelve million, eight hundred fifteen thousand, three hundred sixty".