Search a number
-
+
56837410806 = 231119378314759
BaseRepresentation
bin110100111011110001…
…100000111111110110
312102201002121121222010
4310323301200333312
51412400334121211
642035530545050
74051325010021
oct647361407766
9172632547863
1056837410806
1122117266a90
12b022898186
13548a489837
142a728461b8
151729c944a6
hexd3bc60ff6

56837410806 has 128 divisors (see below), whose sum is σ = 135688089600. Its totient is φ = 15683621760.

The previous prime is 56837410771. The next prime is 56837410841. The reversal of 56837410806 is 60801473865.

It is an interprime number because it is at equal distance from previous prime (56837410771) and next prime (56837410841).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843655 + ... + 3858413.

It is an arithmetic number, because the mean of its divisors is an integer number (1060063200).

Almost surely, 256837410806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56837410806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67844044800).

56837410806 is an abundant number, since it is smaller than the sum of its proper divisors (78850678794).

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

56837410806 is a wasteful number, since it uses less digits than its factorization.

56837410806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 56837410806 in words is "fifty-six billion, eight hundred thirty-seven million, four hundred ten thousand, eight hundred six".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 83 111 114 166 209 222 249 407 418 498 627 703 814 913 1221 1254 1406 1577 1826 2109 2442 2739 3071 3154 4218 4731 5478 6142 7733 9213 9462 14759 15466 17347 18426 23199 29518 33781 34694 44277 46398 52041 58349 67562 88554 101343 104082 116698 162349 175047 202686 280421 324698 350094 487047 546083 560842 641839 841263 974094 1092166 1224997 1283678 1638249 1682526 1925517 2449994 3084631 3276498 3674991 3851034 6006913 6169262 7349982 9253893 10375577 12013826 13474967 18020739 18507786 20751154 23274943 26949934 31126731 36041478 40424901 45324889 46549886 62253462 69824829 80849802 90649778 114131347 135974667 139649658 228262694 256024373 271949334 342394041 498573779 512048746 684788082 768073119 861172891 997147558 1495721337 1536146238 1722345782 2583518673 2991442674 5167037346 9472901801 18945803602 28418705403 56837410806