Search a number
-
+
19694114261640 = 233357131931834099
BaseRepresentation
bin1000111101001011001001…
…01011110100101010001000
32120201201221200110222202000
410132211210223310222020
510040132021222333030
6105515203505111000
74101565340112210
oct436454453645210
976651850428660
1019694114261640
116303255092465
122260a27028460
13acb1bac84410
144c12b3571240
15242450b0e860
hex11e964af4a88

19694114261640 has 2048 divisors, whose sum is σ = 88871731200000. Its totient is φ = 3762742947840.

The previous prime is 19694114261623. The next prime is 19694114261669. The reversal of 19694114261640 is 4616241149691.

It is a happy number.

19694114261640 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 4 + 1 + 14 + 2 + 616 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4804612311 + ... + 4804616409.

It is an arithmetic number, because the mean of its divisors is an integer number (43394400000).

Almost surely, 219694114261640 is an apocalyptic number.

19694114261640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19694114261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44435865600000).

19694114261640 is an abundant number, since it is smaller than the sum of its proper divisors (69177616938360).

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

19694114261640 is a wasteful number, since it uses less digits than its factorization.

19694114261640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 19694114261640 in words is "nineteen trillion, six hundred ninety-four billion, one hundred fourteen million, two hundred sixty-one thousand, six hundred forty".