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648530915472 = 243111123161
BaseRepresentation
bin10010110111111110111…
…01000111000010010000
32021222222020100000000000
421123333131013002100
541111142403243342
61213533032130000
764566125553336
oct11337735070220
92258866300000
10648530915472
11230049881700
12a5833836900
134920524083b
142356383bb56
1511d0a77344c
hex96ff747090

648530915472 has 720 divisors, whose sum is σ = 2173598103040. Its totient is φ = 187067232000.

The previous prime is 648530915467. The next prime is 648530915479. The reversal of 648530915472 is 274519035846.

It is a happy number.

648530915472 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 3 + 0 + 91 + 547 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648530915479) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10631654322 + ... + 10631654382.

It is a 1-persistent number, because it is pandigital, but 2⋅648530915472 = 1297061830944 is not.

Almost surely, 2648530915472 is an apocalyptic number.

648530915472 is a gapful number since it is divisible by the number (62) 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 648530915472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086799051520).

648530915472 is an abundant number, since it is smaller than the sum of its proper divisors (1525067187568).

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

648530915472 is an equidigital number, since it uses as much as digits as its factorization.

648530915472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 648530915472 in words is "six hundred forty-eight billion, five hundred thirty million, nine hundred fifteen thousand, four hundred seventy-two".