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406039495680 = 21034572132953
BaseRepresentation
bin1011110100010011101…
…01110000010000000000
31102211001120221112120000
411322021311300100000
523123032102330210
6510310523320000
741223015524100
oct5721165602000
91384046845500
10406039495680
11147222789945
1266839980000
132c39b955220
141591c333200
15a866c33ac0
hex5e89d70400

406039495680 has 2640 divisors, whose sum is σ = 1921199076720. Its totient is φ = 81155063808.

The previous prime is 406039495679. The next prime is 406039495681. The reversal of 406039495680 is 86594930604.

406039495680 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 39 + 49 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406039495679) and next prime (406039495681).

It can be written as a sum of positive squares in 8 ways, for example, as 7868399616 + 398171096064 = 88704^2 + 631008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406039495681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7661122534 + ... + 7661122586.

It is an arithmetic number, because the mean of its divisors is an integer number (727726923).

Almost surely, 2406039495680 is an apocalyptic number.

406039495680 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 406039495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960599538360).

406039495680 is an abundant number, since it is smaller than the sum of its proper divisors (1515159581040).

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

406039495680 is a wasteful number, since it uses less digits than its factorization.

406039495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 406039495680 in words is "four hundred six billion, thirty-nine million, four hundred ninety-five thousand, six hundred eighty".