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40649290776 = 233661163701
BaseRepresentation
bin100101110110111000…
…101111010000011000
310212220220210221000000
4211312320233100120
51131222204301101
630401331213000
72636220161553
oct456670572030
9125826727000
1040649290776
111626a512896
127a65447160
133aaa7487a3
141d7890569a
1510cd9de486
hex976e2f418

40649290776 has 224 divisors, whose sum is σ = 117026460720. Its totient is φ = 13226976000.

The previous prime is 40649290709. The next prime is 40649290789. The reversal of 40649290776 is 67709294604.

It is a happy number.

40649290776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57987226 + ... + 57987926.

Almost surely, 240649290776 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 40649290776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58513230360).

40649290776 is an abundant number, since it is smaller than the sum of its proper divisors (76377169944).

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

40649290776 is a wasteful number, since it uses less digits than its factorization.

40649290776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 40649290776 in words is "forty billion, six hundred forty-nine million, two hundred ninety thousand, seven hundred seventy-six".