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2773993078080 = 2632573121311093
BaseRepresentation
bin101000010111011110110…
…111110011110101000000
3100211012011100101001221100
4220113132313303311000
5330422114211444310
65522204350454400
7404262064055220
oct50273667636500
910735140331840
102773993078080
1197a497858184
12389750804400
131717814b5843
1498394c3c080
154c257eeeec0
hex285dedf3d40

2773993078080 has 1008 divisors, whose sum is σ = 11363936867712. Its totient is φ = 608361062400.

The previous prime is 2773993078069. The next prime is 2773993078081. The reversal of 2773993078080 is 808703993772.

2773993078080 is a `hidden beast` number, since 2 + 77 + 399 + 30 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2773993077999 and 2773993078017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773993078081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2537962014 + ... + 2537963106.

Almost surely, 22773993078080 is an apocalyptic number.

2773993078080 is a gapful number since it is divisible by the number (20) 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 2773993078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681968433856).

2773993078080 is an abundant number, since it is smaller than the sum of its proper divisors (8589943789632).

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

2773993078080 is a wasteful number, since it uses less digits than its factorization.

2773993078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 2773993078080 in words is "two trillion, seven hundred seventy-three billion, nine hundred ninety-three million, seventy-eight thousand, eighty".