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1006490328480 = 2532571317479613
BaseRepresentation
bin11101010010101110111…
…11111001110110100000
310120012221001010021101100
432221113133321312200
5112442243011002410
62050213020434400
7132500524430340
oct16512737716640
93505831107340
101006490328480
1135893960782a
121430936a8a00
1373bb0b114b0
1436a00410d20
151b2ab4568c0
hexea577f9da0

1006490328480 has 1152 divisors, whose sum is σ = 4571629590528. Its totient is φ = 195593895936.

The previous prime is 1006490328461. The next prime is 1006490328499. The reversal of 1006490328480 is 848230946001.

It is a happy number.

1006490328480 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 490 + 3 + 2 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1006490328461) and next prime (1006490328499).

It is a super-2 number, since 2×10064903284802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104696154 + ... + 104705766.

It is an arithmetic number, because the mean of its divisors is an integer number (3968428464).

Almost surely, 21006490328480 is an apocalyptic number.

1006490328480 is a gapful number since it is divisible by the number (10) 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 1006490328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285814795264).

1006490328480 is an abundant number, since it is smaller than the sum of its proper divisors (3565139262048).

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

1006490328480 is a wasteful number, since it uses less digits than its factorization.

1006490328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1006490328480 in words is "one trillion, six billion, four hundred ninety million, three hundred twenty-eight thousand, four hundred eighty".