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40546992122676 = 223313795696011069
BaseRepresentation
bin10010011100000100101010…
…00011111110101100110100
312022120020212121002220012000
421032002111003332230310
520303310214440411201
6222123010411455300
711353265156264244
oct1116022503765464
9168506777086160
1040546992122676
1111a12978aa4896
12466a341757530
131981746273390
14a026b0775b24
154a4ac10e6d86
hex24e0950feb34

40546992122676 has 384 divisors, whose sum is σ = 115141313280000. Its totient is φ = 12264481382400.

The previous prime is 40546992122653. The next prime is 40546992122723. The reversal of 40546992122676 is 67622129964504.

40546992122676 is a `hidden beast` number, since 4 + 0 + 5 + 469 + 92 + 1 + 22 + 67 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37929833070 + ... + 37929834138.

It is an arithmetic number, because the mean of its divisors is an integer number (299847170000).

Almost surely, 240546992122676 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 40546992122676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57570656640000).

40546992122676 is an abundant number, since it is smaller than the sum of its proper divisors (74594321157324).

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

40546992122676 is a wasteful number, since it uses less digits than its factorization.

40546992122676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 40546992122676 in words is "forty trillion, five hundred forty-six billion, nine hundred ninety-two million, one hundred twenty-two thousand, six hundred seventy-six".