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2042939777088 = 263721767190649
BaseRepresentation
bin11101101110101000101…
…100110010000001000000
321020022011222121112111110
4131232220230302001000
5231432420040331323
64202302533243320
7300411644405400
oct35565054620100
97208158545443
102042939777088
11718451276971
1228bb28493540
1311a8576a38b2
1470c43668800
153821cb0e793
hex1dba8b32040

2042939777088 has 336 divisors, whose sum is σ = 6757044753600. Its totient is φ = 541159686144.

The previous prime is 2042939777083. The next prime is 2042939777089. The reversal of 2042939777088 is 8807779392402.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×20429397770883 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042939777083) by changing a digit.

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, 10620388 + ... + 10811036.

Almost surely, 22042939777088 is an apocalyptic number.

2042939777088 is a gapful number since it is divisible by the number (28) 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 2042939777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378522376800).

2042939777088 is an abundant number, since it is smaller than the sum of its proper divisors (4714104976512).

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

2042939777088 is a wasteful number, since it uses less digits than its factorization.

2042939777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190762 (or 190745 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 2042939777088 in words is "two trillion, forty-two billion, nine hundred thirty-nine million, seven hundred seventy-seven thousand, eighty-eight".