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4980073110480 = 2434513181326617
BaseRepresentation
bin100100001111000001101…
…1111010001101111010000
3122122002102212011020220000
41020132003133101233100
51123043142204013410
614331451454050000
71022540565665256
oct110360337215720
918562385136800
104980073110480
111650045493526
126852084a9900
132a18078a6b90
141330730925d6
15898230e7dc0
hex487837d1bd0

4980073110480 has 400 divisors, whose sum is σ = 18730003275984. Its totient is φ = 1219087687680.

The previous prime is 4980073110443. The next prime is 4980073110517. The reversal of 4980073110480 is 840113700894.

It is a happy number.

4980073110480 is a `hidden beast` number, since 4 + 98 + 0 + 0 + 73 + 1 + 10 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4980073110443) and next prime (4980073110517).

It can be written as a sum of positive squares in 8 ways, for example, as 318515754384 + 4661557356096 = 564372^2 + 2159064^2 .

It is a super-2 number, since 2×49800731104802 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15084132 + ... + 15410748.

Almost surely, 24980073110480 is an apocalyptic number.

4980073110480 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 4980073110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365001637992).

4980073110480 is an abundant number, since it is smaller than the sum of its proper divisors (13749930165504).

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

4980073110480 is a wasteful number, since it uses less digits than its factorization.

4980073110480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326836 (or 326821 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4980073110480 in words is "four trillion, nine hundred eighty billion, seventy-three million, one hundred ten thousand, four hundred eighty".