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40469508179694 = 234111272694211579
BaseRepresentation
bin10010011001110100010101…
…01010001100011011101110
312022021211212121101202120000
421030322022222030123232
520301023023043222234
6222023234014005130
711344553065525656
oct1114721252143356
9168254777352500
1040469508179694
1111993027369680
1246573184a67a6
1319773484a04c9
149dca3dc2b366
154a2a88976899
hex24ce8aa8c6ee

40469508179694 has 320 divisors, whose sum is σ = 100376290713600. Its totient is φ = 12085243027200.

The previous prime is 40469508179693. The next prime is 40469508179743. The reversal of 40469508179694 is 49697180596404.

40469508179694 is a `hidden beast` number, since 4 + 0 + 46 + 9 + 508 + 1 + 79 + 6 + 9 + 4 = 666.

40469508179694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40469508179693) 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 159 ways as a sum of consecutive naturals, for example, 25629833397 + ... + 25629834975.

It is an arithmetic number, because the mean of its divisors is an integer number (313675908480).

Almost surely, 240469508179694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40469508179694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50188145356800).

40469508179694 is an abundant number, since it is smaller than the sum of its proper divisors (59906782533906).

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

40469508179694 is a wasteful number, since it uses less digits than its factorization.

40469508179694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 40469508179694 in words is "forty trillion, four hundred sixty-nine billion, five hundred eight million, one hundred seventy-nine thousand, six hundred ninety-four".