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486120386304 = 2833731324101
BaseRepresentation
bin1110001001011110000…
…10000110111100000000
31201110202120021021122000
413010233002012330000
530431033304330204
61011153130544000
750056342051320
oct7045702067400
91643676237560
10486120386304
11178187315283
127a268898000
1336ac176c8c7
1419757b27280
15c9a2380039
hex712f086f00

486120386304 has 288 divisors, whose sum is σ = 1695909089280. Its totient is φ = 134410752000.

The previous prime is 486120386299. The next prime is 486120386317. The reversal of 486120386304 is 403683021684.

486120386304 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 2 + 0 + 3 + 8 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 486120386304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337854 + ... + 1661954.

Almost surely, 2486120386304 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 486120386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847954544640).

486120386304 is an abundant number, since it is smaller than the sum of its proper divisors (1209788702976).

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

486120386304 is a wasteful number, since it uses less digits than its factorization.

486120386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324164 (or 324144 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 486120386304 in words is "four hundred eighty-six billion, one hundred twenty million, three hundred eighty-six thousand, three hundred four".