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652482082560 = 283571119374373
BaseRepresentation
bin10010111111010101111…
…01100111011100000000
32022101011121011002021210
421133222331213130000
541142240403120220
61215425055250120
765066054123040
oct11375275473400
92271147132253
10652482082560
11231797141a50
12a6556b19940
13496b49c5129
142381a4bd720
1511e8c59e6e0
hex97eaf67700

652482082560 has 2304 divisors, whose sum is σ = 2913408368640. Its totient is φ = 120394874880.

The previous prime is 652482082543. The next prime is 652482082601. The reversal of 652482082560 is 65280284256.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-3 number, since 3×6524820825603 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8938110684 + ... + 8938110756.

It is an arithmetic number, because the mean of its divisors is an integer number (1264500160).

Almost surely, 2652482082560 is an apocalyptic number.

652482082560 is a gapful number since it is divisible by the number (60) 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 652482082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456704184320).

652482082560 is an abundant number, since it is smaller than the sum of its proper divisors (2260926286080).

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

652482082560 is a wasteful number, since it uses less digits than its factorization.

652482082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 652482082560 in words is "six hundred fifty-two billion, four hundred eighty-two million, eighty-two thousand, five hundred sixty".