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38940793448778 = 233133743107499653
BaseRepresentation
bin10001101101010100111000…
…01010010010100101001010
312002212200222211221011012000
420312222130022102211022
520101001221110330103
6214453053055531430
711126244106646514
oct1066523412224512
9162780884834160
1038940793448778
1111453774798a11
12444aba0b29b76
13189614106ca80
14988a5cb20bb4
15477e15733aa3
hex236a9c29294a

38940793448778 has 512 divisors, whose sum is σ = 99201231360000. Its totient is φ = 11240570299392.

The previous prime is 38940793448773. The next prime is 38940793448861. The reversal of 38940793448778 is 87784439704983.

38940793448778 is a `hidden beast` number, since 3 + 8 + 9 + 40 + 7 + 93 + 4 + 487 + 7 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38940793448697 and 38940793448706.

It is not an unprimeable number, because it can be changed into a prime (38940793448773) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59633680300 + ... + 59633680952.

It is an arithmetic number, because the mean of its divisors is an integer number (193752405000).

Almost surely, 238940793448778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38940793448778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49600615680000).

38940793448778 is an abundant number, since it is smaller than the sum of its proper divisors (60260437911222).

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

38940793448778 is a wasteful number, since it uses less digits than its factorization.

38940793448778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 8193540096, while the sum is 81.

The spelling of 38940793448778 in words is "thirty-eight trillion, nine hundred forty billion, seven hundred ninety-three million, four hundred forty-eight thousand, seven hundred seventy-eight".