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307097426829312 = 213347227293461
BaseRepresentation
bin100010111010011011011000…
…1000010011010000000000000
31111021100020010200200021220000
41011310312301002122000000
5310222441012232014222
63005050335452520000
7121454025343226400
oct10564666102320000
91437306120607800
10307097426829312
118993a318482719
122a539656a80000
1310248217401972
1455b9848072800
1525784974169ac
hex1174db109a000

307097426829312 has 840 divisors, whose sum is σ = 1067931428824260. Its totient is φ = 87684627824640.

The previous prime is 307097426829301. The next prime is 307097426829329. The reversal of 307097426829312 is 213928624790703.

307097426829312 is a `hidden beast` number, since 3 + 0 + 7 + 0 + 9 + 74 + 268 + 293 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301571843198976 + 5525583630336 = 17365824^2 + 2350656^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 307097426829312.

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 59 ways as a sum of consecutive naturals, for example, 88730835262 + ... + 88730838722.

Almost surely, 2307097426829312 is an apocalyptic number.

307097426829312 is a gapful number since it is divisible by the number (32) 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 307097426829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533965714412130).

307097426829312 is an abundant number, since it is smaller than the sum of its proper divisors (760834001994948).

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

307097426829312 is an equidigital number, since it uses as much as digits as its factorization.

307097426829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 307097426829312 in words is "three hundred seven trillion, ninety-seven billion, four hundred twenty-six million, eight hundred twenty-nine thousand, three hundred twelve".