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41719530995712 = 214331937134153
BaseRepresentation
bin10010111110001100101011…
…10100110100000000000000
312110201100101211212012212000
421133012111310310000000
520432013044413330322
6224421404333104000
711534064604252533
oct1137062564640000
9173640354765760
1041719530995712
1112325176691829
124819636628000
131a3819a48601b
14a43343b04a1a
154c534a0123ac
hex25f195d34000

41719530995712 has 480 divisors, whose sum is σ = 133633053187200. Its totient is φ = 12818423218176.

The previous prime is 41719530995689. The next prime is 41719530995717. The reversal of 41719530995712 is 21759903591714.

41719530995712 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 9 + 53 + 0 + 9 + 9 + 571 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41719530995712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41719530995717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310917628 + ... + 311051780.

It is an arithmetic number, because the mean of its divisors is an integer number (278402194140).

Almost surely, 241719530995712 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 41719530995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66816526593600).

41719530995712 is an abundant number, since it is smaller than the sum of its proper divisors (91913522191488).

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

41719530995712 is a wasteful number, since it uses less digits than its factorization.

41719530995712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134246 (or 134214 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 41719530995712 in words is "forty-one trillion, seven hundred nineteen billion, five hundred thirty million, nine hundred ninety-five thousand, seven hundred twelve".