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4003074842832 = 243513179442457
BaseRepresentation
bin111010010000001001110…
…110101010000011010000
3112011200122011112220100000
4322100021312222003100
51011041244124432312
612302553122330000
7562132632512352
oct72201166520320
915150564486300
104003074842832
11130377043059a
125479a57b9900
13230646b55b70
14dba6d8690d2
156e1e0dd4adc
hex3a409daa0d0

4003074842832 has 240 divisors, whose sum is σ = 12581594101440. Its totient is φ = 1224831476736.

The previous prime is 4003074842749. The next prime is 4003074842867. The reversal of 4003074842832 is 2382484703004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8826148 + ... + 9268604.

It is an arithmetic number, because the mean of its divisors is an integer number (52423308756).

Almost surely, 24003074842832 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 4003074842832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290797050720).

4003074842832 is an abundant number, since it is smaller than the sum of its proper divisors (8578519258608).

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

4003074842832 is a wasteful number, since it uses less digits than its factorization.

4003074842832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442672 (or 442654 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4003074842832 in words is "four trillion, three billion, seventy-four million, eight hundred forty-two thousand, eight hundred thirty-two".