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8730126569472 = 212371131367811
BaseRepresentation
bin111111100001010010000…
…0101111101000000000000
31010220120222112100002122120
41333002210011331000000
52121013244400210342
630322321554204240
71560505450313640
oct177024405750000
933816875302576
108730126569472
112866475944430
12b8bb59883680
134b432a710369
1422277cb38520
15102155ce8aec
hex7f0a417d000

8730126569472 has 832 divisors, whose sum is σ = 30076131606528. Its totient is φ = 2185740288000.

The previous prime is 8730126569447. The next prime is 8730126569537. The reversal of 8730126569472 is 2749656210378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10764643947 + ... + 10764644757.

It is a 2-persistent number, because it is pandigital, and so is 2⋅8730126569472 = 17460253138944, but 3⋅8730126569472 = 26190379708416 is not.

Almost surely, 28730126569472 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 8730126569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038065803264).

8730126569472 is an abundant number, since it is smaller than the sum of its proper divisors (21346005037056).

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

8730126569472 is a wasteful number, since it uses less digits than its factorization.

8730126569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 8730126569472 in words is "eight trillion, seven hundred thirty billion, one hundred twenty-six million, five hundred sixty-nine thousand, four hundred seventy-two".