Search a number
-
+
4127780874 = 237253972731
BaseRepresentation
bin1111011000001000…
…1111000000001010
3101122200010222212010
43312002033000022
531423202441444
61521332400350
7204201362400
oct36602170012
911580128763
104127780874
11182902a958
129724760b6
1350a2410b9
142b22d7470
151925b62b9
hexf608f00a

4127780874 has 96 divisors (see below), whose sum is σ = 9889096896. Its totient is φ = 1144765440.

The previous prime is 4127780857. The next prime is 4127780893. The reversal of 4127780874 is 4780877214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510089 + ... + 1512819.

It is an arithmetic number, because the mean of its divisors is an integer number (103011426).

Almost surely, 24127780874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127780874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944548448).

4127780874 is an abundant number, since it is smaller than the sum of its proper divisors (5761316022).

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

4127780874 is a wasteful number, since it uses less digits than its factorization.

4127780874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The square root of 4127780874 is about 64247.8083205957. The cubic root of 4127780874 is about 1604.1274779334.

The spelling of 4127780874 in words is "four billion, one hundred twenty-seven million, seven hundred eighty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 97 98 106 147 159 194 291 294 318 371 582 679 742 1113 1358 2037 2226 2597 2731 4074 4753 5141 5194 5462 7791 8193 9506 10282 14259 15423 15582 16386 19117 28518 30846 35987 38234 57351 71974 107961 114702 133819 144743 215922 251909 264907 267638 289486 401457 434229 503818 529814 755727 794721 802914 868458 1013201 1511454 1589442 1854349 2026402 3039603 3708698 5563047 6079206 7092407 11126094 12980443 14040071 14184814 21277221 25960886 28080142 38941329 42120213 42554442 77882658 84240426 98280497 196560994 294841491 589682982 687963479 1375926958 2063890437 4127780874