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4485901201408 = 2121141931127
BaseRepresentation
bin100000101000111010010…
…0011000011000000000000
3120212211220011112020102001
41001101310203003000000
51041444111201421113
613312443343033344
7642044546034424
oct101216443030000
916784804466361
104485901201408
11147a507310000
1260549329b854
13267032024923
14117193cccb84
157ba4de917dd
hex414748c3000

4485901201408 has 520 divisors, whose sum is σ = 10806563225600. Its totient is φ = 1854694195200.

The previous prime is 4485901201399. The next prime is 4485901201417. The reversal of 4485901201408 is 8041021095844.

It is an interprime number because it is at equal distance from previous prime (4485901201399) and next prime (4485901201417).

It is a super-4 number, since 4×44859012014084 (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35322056641 + ... + 35322056767.

Almost surely, 24485901201408 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 4485901201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403281612800).

4485901201408 is an abundant number, since it is smaller than the sum of its proper divisors (6320662024192).

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

4485901201408 is an equidigital number, since it uses as much as digits as its factorization.

4485901201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 4485901201408 in words is "four trillion, four hundred eighty-five billion, nine hundred one million, two hundred one thousand, four hundred eight".