Search a number
-
+
21919194135174 = 23731374325142157
BaseRepresentation
bin1001111101111011101011…
…10001111011101010000110
32212121110021022211002220110
410332331311301323222012
510333111002144311144
6114341312213013450
74421416031014140
oct476756561735206
985543238732813
1021919194135174
116a90972725656
122560105924286
13c2cc81788abb
1455ac74d1bc90
1528027dc600b9
hex13ef75c7ba86

21919194135174 has 256 divisors, whose sum is σ = 54567998521344. Its totient is φ = 5736588480000.

The previous prime is 21919194135151. The next prime is 21919194135221. The reversal of 21919194135174 is 47153149191912.

It is a happy number.

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, 519920904 + ... + 519963060.

It is an arithmetic number, because the mean of its divisors is an integer number (213156244224).

Almost surely, 221919194135174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21919194135174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283999260672).

21919194135174 is an abundant number, since it is smaller than the sum of its proper divisors (32648804386170).

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

21919194135174 is a wasteful number, since it uses less digits than its factorization.

21919194135174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42531.

The product of its digits is 2449440, while the sum is 57.

The spelling of 21919194135174 in words is "twenty-one trillion, nine hundred nineteen billion, one hundred ninety-four million, one hundred thirty-five thousand, one hundred seventy-four".