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487553445242080 = 2557193121011371723
BaseRepresentation
bin110111011011011010110000…
…1111010011010010011100000
32100221021122122212221102122221
41232312311201322122103200
51002401033423440221310
64444534543301240424
7204460400611213060
oct15666654172322340
92327248585842587
10487553445242080
1113139328938aa28
124682315a403114
1317c081285cc749
1488579d97713a0
153b575b5e31ada
hex1bb6d61e9a4e0

487553445242080 has 1152 divisors, whose sum is σ = 1457395924239360. Its totient is φ = 150542364672000.

The previous prime is 487553445242063. The next prime is 487553445242081. The reversal of 487553445242080 is 80242544355784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487553445242081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282967756099 + ... + 282967757821.

It is an arithmetic number, because the mean of its divisors is an integer number (1265100628680).

Almost surely, 2487553445242080 is an apocalyptic number.

487553445242080 is a gapful number since it is divisible by the number (40) 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 487553445242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728697962119680).

487553445242080 is an abundant number, since it is smaller than the sum of its proper divisors (969842478997280).

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

487553445242080 is a wasteful number, since it uses less digits than its factorization.

487553445242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 61.

The spelling of 487553445242080 in words is "four hundred eighty-seven trillion, five hundred fifty-three billion, four hundred forty-five million, two hundred forty-two thousand, eighty".