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3290793246720 = 220375741
BaseRepresentation
bin101111111000110010100…
…100000000000000000000
3102122121010001001210000000
4233320302210000000000
5412404021032343340
610555434120000000
7456515632033230
oct57706244000000
912577101053000
103290793246720
111059687aa6a71
12451940000000
131ab4220cb3b5
14b53bd3a3cc0
155a9039d5d30
hex2fe32900000

3290793246720 has 1344 divisors, whose sum is σ = 13867369044480. Its totient is φ = 733835427840.

The previous prime is 3290793246673. The next prime is 3290793246721. The reversal of 3290793246720 is 276423970923.

3290793246720 is a `hidden beast` number, since 3 + 2 + 90 + 7 + 93 + 2 + 467 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (3290793246721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80263249900 + ... + 80263249940.

It is an arithmetic number, because the mean of its divisors is an integer number (10317982920).

Almost surely, 23290793246720 is an apocalyptic number.

3290793246720 is a gapful number since it is divisible by the number (30) 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 3290793246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933684522240).

3290793246720 is an abundant number, since it is smaller than the sum of its proper divisors (10576575797760).

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

3290793246720 is an frugal number, since it uses more digits than its factorization.

3290793246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3290793246720 in words is "three trillion, two hundred ninety billion, seven hundred ninety-three million, two hundred forty-six thousand, seven hundred twenty".