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8215485696 = 28331131947
BaseRepresentation
bin1111010011010111…
…00101110100000000
3210012112212220201000
413221223211310000
5113311131020241
63435114212000
7410405322225
oct75153456400
923175786630
108215485696
113536478000
121713424000
13a0c08cb52
1457d15b94c
153313b2eb6
hex1e9ae5d00

8215485696 has 576 divisors, whose sum is σ = 28727193600. Its totient is φ = 2308331520.

The previous prime is 8215485683. The next prime is 8215485697. The reversal of 8215485696 is 6965845128.

8215485696 is a `hidden beast` number, since 8 + 2 + 1 + 548 + 5 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8215485697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174797545 + ... + 174797591.

It is an arithmetic number, because the mean of its divisors is an integer number (49873600).

Almost surely, 28215485696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8215485696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363596800).

8215485696 is an abundant number, since it is smaller than the sum of its proper divisors (20511707904).

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

8215485696 is a wasteful number, since it uses less digits than its factorization.

8215485696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 8215485696 is about 90639.3165022773. The cubic root of 8215485696 is about 2017.7982820678.

The spelling of 8215485696 in words is "eight billion, two hundred fifteen million, four hundred eighty-five thousand, six hundred ninety-six".