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6486145215552 = 2633171987111121
BaseRepresentation
bin101111001100010110001…
…1000011010110001000000
3211222001212121112021212000
41132120230120122301000
51322232111133344202
621443405522104000
71236415503444132
oct136305430326100
924861777467760
106486145215552
112080838976272
12889084aab000
13380843cb3c62
14185d06d3b052
15b3abd5be91c
hex5e62c61ac40

6486145215552 has 224 divisors, whose sum is σ = 20200059411840. Its totient is φ = 2033826693120.

The previous prime is 6486145215551. The next prime is 6486145215559. The reversal of 6486145215552 is 2555125416846.

6486145215552 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 14 + 521 + 55 + 52 = 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 (6486145215551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58314552 + ... + 58425672.

It is an arithmetic number, because the mean of its divisors is an integer number (90178836660).

Almost surely, 26486145215552 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 6486145215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100029705920).

6486145215552 is an abundant number, since it is smaller than the sum of its proper divisors (13713914196288).

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

6486145215552 is a wasteful number, since it uses less digits than its factorization.

6486145215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113146 (or 113130 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 6486145215552 in words is "six trillion, four hundred eighty-six billion, one hundred forty-five million, two hundred fifteen thousand, five hundred fifty-two".