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4219681374 = 2323122333911
BaseRepresentation
bin1111101110000011…
…0011101001011110
3101220002002000122100
43323200303221132
532120214300444
61534414225530
7206365462026
oct37340635136
911802060570
104219681374
11187599a087
129991b52a6
135232aa0ac
142c05baa86
1519a6bae69
hexfb833a5e

4219681374 has 48 divisors (see below), whose sum is σ = 9480167424. Its totient is φ = 1355043600.

The previous prime is 4219681363. The next prime is 4219681393. The reversal of 4219681374 is 4731869124.

4219681374 is a `hidden beast` number, since 4 + 219 + 68 + 1 + 374 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107479 + ... + 141389.

It is an arithmetic number, because the mean of its divisors is an integer number (197503488).

Almost surely, 24219681374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4219681374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740083712).

4219681374 is an abundant number, since it is smaller than the sum of its proper divisors (5260486050).

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

4219681374 is a wasteful number, since it uses less digits than its factorization.

4219681374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34173 (or 34170 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4219681374 is about 64959.0746085564. The cubic root of 4219681374 is about 1615.9449174829.

The spelling of 4219681374 in words is "four billion, two hundred nineteen million, six hundred eighty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 223 279 446 558 669 1338 2007 4014 6913 13826 20739 33911 41478 62217 67822 101733 124434 203466 305199 610398 1051241 2102482 3153723 6307446 7562153 9461169 15124306 18922338 22686459 45372918 68059377 136118754 234426743 468853486 703280229 1406560458 2109840687 4219681374